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Simplifying 6x = -12x * -12x Reorder the terms for easier multiplication: 6x = -12 * -12x * x Multiply -12 * -12 6x = 144x * x Multiply x * x 6x = 144x2 Solving 6x = 144x2 Solving for variable 'x'. Combine like terms: 144x2 + -144x2 = 0 6x + -144x2 = 0 Factor out the Greatest Common Factor (GCF), '6x'. 6x(1 + -24x) = 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 = 0Subproblem 2
Set the factor '(1 + -24x)' equal to zero and attempt to solve: Simplifying 1 + -24x = 0 Solving 1 + -24x = 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 + -24x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -24x = 0 + -1 -24x = 0 + -1 Combine like terms: 0 + -1 = -1 -24x = -1 Divide each side by '-24'. x = 0.04166666667 Simplifying x = 0.04166666667Solution
x = {0, 0.04166666667}
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