2(x+3)4(5x-6)=

Solution for 2(x+3)4(5x-6)= equation:

Simplifying
2(x + 3) * 4(5x + -6) = 0

Reorder the terms:
2(3 + x) * 4(5x + -6) = 0

Reorder the terms:
2(3 + x) * 4(-6 + 5x) = 0

Reorder the terms for easier multiplication:
2 * 4(3 + x)(-6 + 5x) = 0

Multiply 2 * 4
8(3 + x)(-6 + 5x) = 0

Multiply (3 + x) * (-6 + 5x)
8(3(-6 + 5x) + x(-6 + 5x)) = 0
8((-6 * 3 + 5x * 3) + x(-6 + 5x)) = 0
8((-18 + 15x) + x(-6 + 5x)) = 0
8(-18 + 15x + (-6 * x + 5x * x)) = 0
8(-18 + 15x + (-6x + 5x2)) = 0

Combine like terms: 15x + -6x = 9x
8(-18 + 9x + 5x2) = 0
(-18 * 8 + 9x * 8 + 5x2 * 8) = 0
(-144 + 72x + 40x2) = 0

Solving
-144 + 72x + 40x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-18 + 9x + 5x2) = 0

Factor a trinomial.
8((-3 + -1x)(6 + -5x)) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3
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 = {-3, 1.2}