-6X(2X-10)=12X

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Solution for -6X(2X-10)=12X equation:


Simplifying
-6X(2X + -10) = 12X

Reorder the terms:
-6X(-10 + 2X) = 12X
(-10 * -6X + 2X * -6X) = 12X
(60X + -12X2) = 12X

Solving
60X + -12X2 = 12X

Solving for variable 'X'.

Reorder the terms:
60X + -12X + -12X2 = 12X + -12X

Combine like terms: 60X + -12X = 48X
48X + -12X2 = 12X + -12X

Combine like terms: 12X + -12X = 0
48X + -12X2 = 0

Factor out the Greatest Common Factor (GCF), '12X'.
12X(4 + -1X) = 0

Ignore the factor 12.

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 + -1X)' equal to zero and attempt to solve: Simplifying 4 + -1X = 0 Solving 4 + -1X = 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 + -1X = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1X = 0 + -4 -1X = 0 + -4 Combine like terms: 0 + -4 = -4 -1X = -4 Divide each side by '-1'. X = 4 Simplifying X = 4

Solution

X = {0, 4}

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