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Simplifying 12(6 + -4x) * 3x = 0 Reorder the terms for easier multiplication: 12 * 3x(6 + -4x) = 0 Multiply 12 * 3 36x(6 + -4x) = 0 (6 * 36x + -4x * 36x) = 0 (216x + -144x2) = 0 Solving 216x + -144x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '72x'. 72x(3 + -2x) = 0 Ignore the factor 72.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 '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {0, 1.5}
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