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Simplifying 2x(x + -3) = 125x2 Reorder the terms: 2x(-3 + x) = 125x2 (-3 * 2x + x * 2x) = 125x2 (-6x + 2x2) = 125x2 Solving -6x + 2x2 = 125x2 Solving for variable 'x'. Combine like terms: 2x2 + -125x2 = -123x2 -6x + -123x2 = 125x2 + -125x2 Combine like terms: 125x2 + -125x2 = 0 -6x + -123x2 = 0 Factor out the Greatest Common Factor (GCF), '-3x'. -3x(2 + 41x) = 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 '(2 + 41x)' equal to zero and attempt to solve: Simplifying 2 + 41x = 0 Solving 2 + 41x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 41x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 41x = 0 + -2 41x = 0 + -2 Combine like terms: 0 + -2 = -2 41x = -2 Divide each side by '41'. x = -0.0487804878 Simplifying x = -0.0487804878Solution
x = {0, -0.0487804878}
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