(2x+10)(9x-9)=

Solution for (2x+10)(9x-9)= equation:

Simplifying
(2x + 10)(9x + -9) = 0

Reorder the terms:
(10 + 2x)(9x + -9) = 0

Reorder the terms:
(10 + 2x)(-9 + 9x) = 0

Multiply (10 + 2x) * (-9 + 9x)
(10(-9 + 9x) + 2x * (-9 + 9x)) = 0
((-9 * 10 + 9x * 10) + 2x * (-9 + 9x)) = 0
((-90 + 90x) + 2x * (-9 + 9x)) = 0
(-90 + 90x + (-9 * 2x + 9x * 2x)) = 0
(-90 + 90x + (-18x + 18x2)) = 0

Combine like terms: 90x + -18x = 72x
(-90 + 72x + 18x2) = 0

Solving
-90 + 72x + 18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '18'.
18(-5 + 4x + x2) = 0

Factor a trinomial.
18((-5 + -1x)(1 + -1x)) = 0

Ignore the factor 18.
Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {-5, 1}