-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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