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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 = 0Subproblem 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 = 4Solution
X = {0, 4}
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