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Simplifying (-10) * x(12x) = -120x Remove parenthesis around (12x) -10x * 12x = -120x Reorder the terms for easier multiplication: -10 * 12x * x = -120x Multiply -10 * 12 -120x * x = -120x Multiply x * x -120x2 = -120x Solving -120x2 = -120x Solving for variable 'x'. Reorder the terms: 120x + -120x2 = -120x + 120x Combine like terms: -120x + 120x = 0 120x + -120x2 = 0 Factor out the Greatest Common Factor (GCF), '120x'. 120x(1 + -1x) = 0 Ignore the factor 120.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 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {0, 1}
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