2x(6x+5)-6x(6+5)=6x(7+3)

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Solution for 2x(6x+5)-6x(6+5)=6x(7+3) equation: 


Simplifying
2x(6x + 5) + -6x(6 + 5) = 6x(7 + 3)

Reorder the terms:
2x(5 + 6x) + -6x(6 + 5) = 6x(7 + 3)
(5 * 2x + 6x * 2x) + -6x(6 + 5) = 6x(7 + 3)
(10x + 12x2) + -6x(6 + 5) = 6x(7 + 3)

Combine like terms: 6 + 5 = 11
10x + 12x2 + -6x(11) = 6x(7 + 3)

Reorder the terms for easier multiplication:
10x + 12x2 + -6 * 11x = 6x(7 + 3)

Multiply -6 * 11
10x + 12x2 + -66x = 6x(7 + 3)

Reorder the terms:
10x + -66x + 12x2 = 6x(7 + 3)

Combine like terms: 10x + -66x = -56x
-56x + 12x2 = 6x(7 + 3)

Combine like terms: 7 + 3 = 10
-56x + 12x2 = 6x(10)

Reorder the terms for easier multiplication:
-56x + 12x2 = 6 * 10x

Multiply 6 * 10
-56x + 12x2 = 60x

Solving
-56x + 12x2 = 60x

Solving for variable 'x'.

Reorder the terms:
-56x + -60x + 12x2 = 60x + -60x

Combine like terms: -56x + -60x = -116x
-116x + 12x2 = 60x + -60x

Combine like terms: 60x + -60x = 0
-116x + 12x2 = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-29 + 3x) = 0

Ignore the factor 4.

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 '(-29 + 3x)' equal to zero and attempt to solve:

Simplifying
-29 + 3x = 0

Solving
-29 + 3x = 0

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

Add '29' to each side of the equation.
-29 + 29 + 3x = 0 + 29

Combine like terms: -29 + 29 = 0
0 + 3x = 0 + 29
3x = 0 + 29

Combine like terms: 0 + 29 = 29
3x = 29

Divide each side by '3'.
x = 9.666666667

Simplifying
x = 9.666666667
Solution
x = {0, 9.666666667}

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