Solve for m mx^2-36=(3x+6)(3x-6)

$m x^{2} - 36 = (3 x + 6) (3 x - 6)$

Simplify $(3 x + 6) (3 x - 6)$ .

Rewrite.

$m x^{2} - 36 = 0 + 0 + (3 x + 6) (3 x - 6)$

Simplify by adding zeros.

$m x^{2} - 36 = (3 x + 6) (3 x - 6)$

Expand $(3 x + 6) (3 x - 6)$ using the FOIL Method.

Apply the distributive property.

$m x^{2} - 36 = 3 x (3 x - 6) + 6 (3 x - 6)$

Apply the distributive property.

$m x^{2} - 36 = 3 x (3 x) + 3 x \cdot - 6 + 6 (3 x - 6)$

Apply the distributive property.

$m x^{2} - 36 = 3 x (3 x) + 3 x \cdot - 6 + 6 (3 x) + 6 \cdot - 6$

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$m x^{2} - 36 = 3 \cdot 3 x \cdot x + 3 x \cdot - 6 + 6 (3 x) + 6 \cdot - 6$

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

$m x^{2} - 36 = 3 \cdot 3 (x \cdot x) + 3 x \cdot - 6 + 6 (3 x) + 6 \cdot - 6$

Multiply $x$ by $x$ .

$m x^{2} - 36 = 3 \cdot 3 x^{2} + 3 x \cdot - 6 + 6 (3 x) + 6 \cdot - 6$

Multiply $3$ by $3$ .

$m x^{2} - 36 = 9 x^{2} + 3 x \cdot - 6 + 6 (3 x) + 6 \cdot - 6$

Multiply $- 6$ by $3$ .

$m x^{2} - 36 = 9 x^{2} - 18 x + 6 (3 x) + 6 \cdot - 6$

Multiply $3$ by $6$ .

$m x^{2} - 36 = 9 x^{2} - 18 x + 18 x + 6 \cdot - 6$

Multiply $6$ by $- 6$ .

$m x^{2} - 36 = 9 x^{2} - 18 x + 18 x - 36$

Add $- 18 x$ and $18 x$ .

$m x^{2} - 36 = 9 x^{2} + 0 - 36$

Add $9 x^{2}$ and $0$ .

$m x^{2} - 36 = 9 x^{2} - 36$

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

Add $36$ to both sides of the equation.

$m x^{2} = 9 x^{2} - 36 + 36$

Combine the opposite terms in $9 x^{2} - 36 + 36$ .

Add $- 36$ and $36$ .

$m x^{2} = 9 x^{2} + 0$

Add $9 x^{2}$ and $0$ .

$m x^{2} = 9 x^{2}$

Divide each term in $m x^{2} = 9 x^{2}$ by $x^{2}$ and simplify.

Divide each term in $m x^{2} = 9 x^{2}$ by $x^{2}$ .

$\frac{m x^{2}}{x^{2}} = \frac{9 x^{2}}{x^{2}}$

Simplify the left side.

Cancel the common factor of $x^{2}$ .

Cancel the common factor.

$\frac{m x^{2}}{x^{2}} = \frac{9 x^{2}}{x^{2}}$

Divide $m$ by $1$ .

$m = \frac{9 x^{2}}{x^{2}}$

Simplify the right side.

Cancel the common factor of $x^{2}$ .

Cancel the common factor.

$m = \frac{9 x^{2}}{x^{2}}$

Divide $9$ by $1$ .

$m = 9$

Solve for m mx^2-36=(3x+6)(3x-6)

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