2x(6x+7)(5x+6)=

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Solution for 2x(6x+7)(5x+6)= equation: 


Simplifying
2x(6x + 7)(5x + 6) = 0

Reorder the terms:
2x(7 + 6x)(5x + 6) = 0

Reorder the terms:
2x(7 + 6x)(6 + 5x) = 0

Multiply (7 + 6x) * (6 + 5x)
2x(7(6 + 5x) + 6x * (6 + 5x)) = 0
2x((6 * 7 + 5x * 7) + 6x * (6 + 5x)) = 0
2x((42 + 35x) + 6x * (6 + 5x)) = 0
2x(42 + 35x + (6 * 6x + 5x * 6x)) = 0
2x(42 + 35x + (36x + 30x2)) = 0

Combine like terms: 35x + 36x = 71x
2x(42 + 71x + 30x2) = 0
(42 * 2x + 71x * 2x + 30x2 * 2x) = 0
(84x + 142x2 + 60x3) = 0

Solving
84x + 142x2 + 60x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(42 + 71x + 30x2) = 0

Factor a trinomial.
2x((6 + 5x)(7 + 6x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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

Subproblem 3
Set the factor '(7 + 6x)' equal to zero and attempt to solve:

Simplifying
7 + 6x = 0

Solving
7 + 6x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 6x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 6x = 0 + -7
6x = 0 + -7

Combine like terms: 0 + -7 = -7
6x = -7

Divide each side by '6'.
x = -1.166666667

Simplifying
x = -1.166666667
Solution
x = {0, -1.2, -1.166666667}

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