(x-9)(x+16)=7x

Solution for (x-9)(x+16)=7x equation:

Simplifying
(x + -9)(x + 16) = 7x

Reorder the terms:
(-9 + x)(x + 16) = 7x

Reorder the terms:
(-9 + x)(16 + x) = 7x

Multiply (-9 + x) * (16 + x)
(-9(16 + x) + x(16 + x)) = 7x
((16 * -9 + x * -9) + x(16 + x)) = 7x
((-144 + -9x) + x(16 + x)) = 7x
(-144 + -9x + (16 * x + x * x)) = 7x
(-144 + -9x + (16x + x2)) = 7x

Combine like terms: -9x + 16x = 7x
(-144 + 7x + x2) = 7x

Add '-7x' to each side of the equation.
-144 + 7x + -7x + x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
-144 + 0 + x2 = 7x + -7x
-144 + x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
-144 + x2 = 0

Solving
-144 + x2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '144' to each side of the equation.
-144 + 144 + x2 = 0 + 144

Combine like terms: -144 + 144 = 0
0 + x2 = 0 + 144
x2 = 0 + 144

Combine like terms: 0 + 144 = 144
x2 = 144

Simplifying
x2 = 144

Take the square root of each side:
x = {-12, 12}