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

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


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

Reorder the terms:
6x(-5 + 6x) + -3(5 + -6x) = 0
(-5 * 6x + 6x * 6x) + -3(5 + -6x) = 0
(-30x + 36x2) + -3(5 + -6x) = 0
-30x + 36x2 + (5 * -3 + -6x * -3) = 0
-30x + 36x2 + (-15 + 18x) = 0

Reorder the terms:
-15 + -30x + 18x + 36x2 = 0

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

Solving
-15 + -12x + 36x2 = 0

Solving for variable 'x'.

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

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

Ignore the factor 3.

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

Simplifying
-1 + -2x = 0

Solving
-1 + -2x = 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 + -2x = 0 + 1

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

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

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5

Subproblem 2
Set the factor '(5 + -6x)' equal to zero and attempt to solve:

Simplifying
5 + -6x = 0

Solving
5 + -6x = 0

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

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

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

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

Divide each side by '-6'.
x = 0.8333333333

Simplifying
x = 0.8333333333
Solution
x = {-0.5, 0.8333333333}

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