6(6x-5)(2x+5)=0

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Solution for 6(6x-5)(2x+5)=0 equation: 


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

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

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

Multiply (-5 + 6x) * (5 + 2x)
6(-5(5 + 2x) + 6x * (5 + 2x)) = 0
6((5 * -5 + 2x * -5) + 6x * (5 + 2x)) = 0
6((-25 + -10x) + 6x * (5 + 2x)) = 0
6(-25 + -10x + (5 * 6x + 2x * 6x)) = 0
6(-25 + -10x + (30x + 12x2)) = 0

Combine like terms: -10x + 30x = 20x
6(-25 + 20x + 12x2) = 0
(-25 * 6 + 20x * 6 + 12x2 * 6) = 0
(-150 + 120x + 72x2) = 0

Solving
-150 + 120x + 72x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-25 + 20x + 12x2) = 0

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

Ignore the factor 6.

Subproblem 1
Set the factor '(-5 + -2x)' equal to zero and attempt to solve:

Simplifying
-5 + -2x = 0

Solving
-5 + -2x = 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 + -2x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = 0 + 5
-2x = 0 + 5

Combine like terms: 0 + 5 = 5
-2x = 5

Divide each side by '-2'.
x = -2.5

Simplifying
x = -2.5

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 = {-2.5, 0.8333333333}

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