(5x+6)(5x-5)=

Solution for (5x+6)(5x-5)= equation:

Simplifying
(5x + 6)(5x + -5) = 0

Reorder the terms:
(6 + 5x)(5x + -5) = 0

Reorder the terms:
(6 + 5x)(-5 + 5x) = 0

Multiply (6 + 5x) * (-5 + 5x)
(6(-5 + 5x) + 5x * (-5 + 5x)) = 0
((-5 * 6 + 5x * 6) + 5x * (-5 + 5x)) = 0
((-30 + 30x) + 5x * (-5 + 5x)) = 0
(-30 + 30x + (-5 * 5x + 5x * 5x)) = 0
(-30 + 30x + (-25x + 25x2)) = 0

Combine like terms: 30x + -25x = 5x
(-30 + 5x + 25x2) = 0

Solving
-30 + 5x + 25x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-6 + x + 5x2) = 0

Factor a trinomial.
5((-6 + -5x)(1 + -1x)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(-6 + -5x)' equal to zero and attempt to solve:

Simplifying
-6 + -5x = 0

Solving
-6 + -5x = 0

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

Add '6' to each side of the equation.
-6 + 6 + -5x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -5x = 0 + 6
-5x = 0 + 6

Combine like terms: 0 + 6 = 6
-5x = 6

Divide each side by '-5'.
x = -1.2

Simplifying
x = -1.2
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 = {-1.2, 1}