Solve for x (x+8)(x-1)=(x+2)^2

$(x + 8) (x - 1) = {(x + 2)}^{2}$

Simplify $(x + 8) (x - 1)$ .

Start simplifying.

$0 + 0 + (x + 8) (x - 1) = {(x + 2)}^{2}$

Simplify by adding zeros.

$(x + 8) (x - 1) = {(x + 2)}^{2}$

Expand $(x + 8) (x - 1)$ using the FOIL Method.

Apply the distributive property.

$x (x - 1) + 8 (x - 1) = {(x + 2)}^{2}$

Apply the distributive property.

$x \cdot x + x \cdot - 1 + 8 (x - 1) = {(x + 2)}^{2}$

Apply the distributive property.

$x \cdot x + x \cdot - 1 + 8 x + 8 \cdot - 1 = {(x + 2)}^{2}$

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$x^{2} + x \cdot - 1 + 8 x + 8 \cdot - 1 = {(x + 2)}^{2}$

Move $- 1$ to the left of $x$ .

$x^{2} - 1 \cdot x + 8 x + 8 \cdot - 1 = {(x + 2)}^{2}$

Rewrite $- 1 x$ as $- x$ .

$x^{2} - x + 8 x + 8 \cdot - 1 = {(x + 2)}^{2}$

Multiply $8$ by $- 1$ .

$x^{2} - x + 8 x - 8 = {(x + 2)}^{2}$

Add $- x$ and $8 x$ .

$x^{2} + 7 x - 8 = {(x + 2)}^{2}$

Simplify ${(x + 2)}^{2}$ .

Rewrite ${(x + 2)}^{2}$ as $(x + 2) (x + 2)$ .

$x^{2} + 7 x - 8 = (x + 2) (x + 2)$

Expand $(x + 2) (x + 2)$ using the FOIL Method.

Apply the distributive property.

$x^{2} + 7 x - 8 = x (x + 2) + 2 (x + 2)$

Apply the distributive property.

$x^{2} + 7 x - 8 = x \cdot x + x \cdot 2 + 2 (x + 2)$

Apply the distributive property.

$x^{2} + 7 x - 8 = x \cdot x + x \cdot 2 + 2 x + 2 \cdot 2$

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$x^{2} + 7 x - 8 = x^{2} + x \cdot 2 + 2 x + 2 \cdot 2$

Move $2$ to the left of $x$ .

$x^{2} + 7 x - 8 = x^{2} + 2 \cdot x + 2 x + 2 \cdot 2$

Multiply $2$ by $2$ .

$x^{2} + 7 x - 8 = x^{2} + 2 x + 2 x + 4$

Add $2 x$ and $2 x$ .

$x^{2} + 7 x - 8 = x^{2} + 4 x + 4$

Move all terms containing $x$ to the left side of the equation.

Subtract $x^{2}$ from both sides of the equation.

$x^{2} + 7 x - 8 - x^{2} = 4 x + 4$

Subtract $4 x$ from both sides of the equation.

$x^{2} + 7 x - 8 - x^{2} - 4 x = 4$

Combine the opposite terms in $x^{2} + 7 x - 8 - x^{2} - 4 x$ .

Subtract $x^{2}$ from $x^{2}$ .

$7 x - 8 + 0 - 4 x = 4$

Add $7 x - 8$ and $0$ .

$7 x - 8 - 4 x = 4$

Subtract $4 x$ from $7 x$ .

$3 x - 8 = 4$

Move all terms not containing $x$ to the right side of the equation.

Add $8$ to both sides of the equation.

$3 x = 4 + 8$

Add $4$ and $8$ .

$3 x = 12$

Divide each term in $3 x = 12$ by $3$ and simplify.

Divide each term in $3 x = 12$ by $3$ .

$\frac{3 x}{3} = \frac{12}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{12}{3}$

Divide $x$ by $1$ .

$x = \frac{12}{3}$

Simplify the right side.

Divide $12$ by $3$ .

$x = 4$

Solve for x (x+8)(x-1)=(x+2)^2

Related Questions

Support LCMGCF.com by disabling your adblocker.