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Simplifying 0 = 3x + 120x2 Solving 0 = 3x + 120x2 Solving for variable 'x'. Remove the zero: -3x + -120x2 = 3x + 120x2 + -3x + -120x2 Reorder the terms: -3x + -120x2 = 3x + -3x + 120x2 + -120x2 Combine like terms: 3x + -3x = 0 -3x + -120x2 = 0 + 120x2 + -120x2 -3x + -120x2 = 120x2 + -120x2 Combine like terms: 120x2 + -120x2 = 0 -3x + -120x2 = 0 Factor out the Greatest Common Factor (GCF), '-3x'. -3x(1 + 40x) = 0 Ignore the factor -3.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 + 40x)' equal to zero and attempt to solve: Simplifying 1 + 40x = 0 Solving 1 + 40x = 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 + 40x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 40x = 0 + -1 40x = 0 + -1 Combine like terms: 0 + -1 = -1 40x = -1 Divide each side by '40'. x = -0.025 Simplifying x = -0.025Solution
x = {0, -0.025}
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