Write in Standard Form (x-1)(x+2)=x(x+5)

$(x - 1) (x + 2) = x (x + 5)$

The standard form of a linear equation is $A x + B y = C$ .

Simplify the left side.

Simplify $(x - 1) (x + 2)$ .

Expand $(x - 1) (x + 2)$ using the FOIL Method.

Apply the distributive property.

$x (x + 2) - 1 (x + 2) = x (x + 5)$

Apply the distributive property.

$x \cdot x + x \cdot 2 - 1 (x + 2) = x (x + 5)$

Apply the distributive property.

$x \cdot x + x \cdot 2 - 1 x - 1 \cdot 2 = x (x + 5)$

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$x^{2} + x \cdot 2 - 1 x - 1 \cdot 2 = x (x + 5)$

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

$x^{2} + 2 \cdot x - 1 x - 1 \cdot 2 = x (x + 5)$

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

$x^{2} + 2 x - x - 1 \cdot 2 = x (x + 5)$

Multiply $- 1$ by $2$ .

$x^{2} + 2 x - x - 2 = x (x + 5)$

Subtract $x$ from $2 x$ .

$x^{2} + x - 2 = x (x + 5)$

Simplify the right side.

Simplify $x (x + 5)$ .

Apply the distributive property.

$x^{2} + x - 2 = x \cdot x + x \cdot 5$

Simplify the expression.

Multiply $x$ by $x$ .

$x^{2} + x - 2 = x^{2} + x \cdot 5$

Move $5$ to the left of $x$ .

$x^{2} + x - 2 = x^{2} + 5 x$

Move all terms containing variables to the left side of the equation.

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

$x^{2} + x - 2 - x^{2} = 5 x$

Subtract $5 x$ from both sides of the equation.

$x^{2} + x - 2 - x^{2} - 5 x = 0$

Combine the opposite terms in $x^{2} + x - 2 - x^{2} - 5 x$ .

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

$x - 2 + 0 - 5 x = 0$

Add $x - 2$ and $0$ .

$x - 2 - 5 x = 0$

Subtract $5 x$ from $x$ .

$- 4 x - 2 = 0$

Add $2$ to both sides of the equation.

$- 4 x = 2$

Write in Standard Form (x-1)(x+2)=x(x+5)

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