(3x+6)(5x-6)=

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Solution for (3x+6)(5x-6)= equation: 


Simplifying
(3x + 6)(5x + -6) = 0

Reorder the terms:
(6 + 3x)(5x + -6) = 0

Reorder the terms:
(6 + 3x)(-6 + 5x) = 0

Multiply (6 + 3x) * (-6 + 5x)
(6(-6 + 5x) + 3x * (-6 + 5x)) = 0
((-6 * 6 + 5x * 6) + 3x * (-6 + 5x)) = 0
((-36 + 30x) + 3x * (-6 + 5x)) = 0
(-36 + 30x + (-6 * 3x + 5x * 3x)) = 0
(-36 + 30x + (-18x + 15x2)) = 0

Combine like terms: 30x + -18x = 12x
(-36 + 12x + 15x2) = 0

Solving
-36 + 12x + 15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-12 + 4x + 5x2) = 0

Factor a trinomial.
3((-2 + -1x)(6 + -5x)) = 0

Ignore the factor 3.

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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
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
Solution
x = {-2, 1.2}

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