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

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


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

Reorder the terms:
-6x(-5 + 5x) = 6x
(-5 * -6x + 5x * -6x) = 6x
(30x + -30x2) = 6x

Solving
30x + -30x2 = 6x

Solving for variable 'x'.

Reorder the terms:
30x + -6x + -30x2 = 6x + -6x

Combine like terms: 30x + -6x = 24x
24x + -30x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
24x + -30x2 = 0

Factor out the Greatest Common Factor (GCF), '6x'.
6x(4 + -5x) = 0

Ignore the factor 6.

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 '(4 + -5x)' equal to zero and attempt to solve: Simplifying 4 + -5x = 0 Solving 4 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 0 + -4 -5x = 0 + -4 Combine like terms: 0 + -4 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8

Solution

x = {0, 0.8}

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