Solve for x (4x-16)1/2=36

$(4 x - 16) \frac{1}{2} = 36$

Step 1

Multiply $4 x - 16$ by $\frac{1}{2}$ .

$(4 x - 16) \frac{1}{2} = 36$

Step 2

Multiply each term in $(4 x - 16) (\frac{1}{2}) = 36$ by $2$ to eliminate the fractions.

Multiply each term in $(4 x - 16) (\frac{1}{2}) = 36$ by $2$ .

$(4 x - 16) \frac{1}{2} \cdot 2 = 36 \cdot 2$

Simplify the left side.

Apply the distributive property.

$(4 x \frac{1}{2} - 16 (\frac{1}{2})) \cdot 2 = 36 \cdot 2$

Cancel the common factor of $2$ .

Factor $2$ out of $4 x$ .

$(2 (2 x) \frac{1}{2} - 16 (\frac{1}{2})) \cdot 2 = 36 \cdot 2$

Cancel the common factor.

$(2 (2 x) \frac{1}{2} - 16 (\frac{1}{2})) \cdot 2 = 36 \cdot 2$

Rewrite the expression.

$(2 x - 16 (\frac{1}{2})) \cdot 2 = 36 \cdot 2$

Cancel the common factor of $2$ .

Factor $2$ out of $- 16$ .

$(2 x + 2 (- 8) \frac{1}{2}) \cdot 2 = 36 \cdot 2$

Cancel the common factor.

$(2 x + 2 \cdot - 8 \frac{1}{2}) \cdot 2 = 36 \cdot 2$

Rewrite the expression.

$(2 x - 8) \cdot 2 = 36 \cdot 2$

Apply the distributive property.

$2 x \cdot 2 - 8 \cdot 2 = 36 \cdot 2$

Multiply.

Multiply $2$ by $2$ .

$4 x - 8 \cdot 2 = 36 \cdot 2$

Multiply $- 8$ by $2$ .

$4 x - 16 = 36 \cdot 2$

Simplify the right side.

Multiply $36$ by $2$ .

$4 x - 16 = 72$

Step 3

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

Add $16$ to both sides of the equation.

$4 x = 72 + 16$

Add $72$ and $16$ .

$4 x = 88$

Step 4

Divide each term in $4 x = 88$ by $4$ and simplify.

Divide each term in $4 x = 88$ by $4$ .

$\frac{4 x}{4} = \frac{88}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} = \frac{88}{4}$

Divide $x$ by $1$ .

$x = \frac{88}{4}$

Simplify the right side.

Divide $88$ by $4$ .

$x = 22$

Solve for x (4x-16)1/2=36

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