-5(6x-5)(x-1)=0

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Solution for -5(6x-5)(x-1)=0 equation: 


Simplifying
-5(6x + -5)(x + -1) = 0

Reorder the terms:
-5(-5 + 6x)(x + -1) = 0

Reorder the terms:
-5(-5 + 6x)(-1 + x) = 0

Multiply (-5 + 6x) * (-1 + x)
-5(-5(-1 + x) + 6x * (-1 + x)) = 0
-5((-1 * -5 + x * -5) + 6x * (-1 + x)) = 0
-5((5 + -5x) + 6x * (-1 + x)) = 0
-5(5 + -5x + (-1 * 6x + x * 6x)) = 0
-5(5 + -5x + (-6x + 6x2)) = 0

Combine like terms: -5x + -6x = -11x
-5(5 + -11x + 6x2) = 0
(5 * -5 + -11x * -5 + 6x2 * -5) = 0
(-25 + 55x + -30x2) = 0

Solving
-25 + 55x + -30x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-5 + 11x + -6x2) = 0

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

Ignore the factor 5.

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

Simplifying
-1 + x = 0

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

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

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

Simplifying
x = 1

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 = {1, 0.8333333333}

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