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Simplifying 100x2 + -120x = -36 Reorder the terms: -120x + 100x2 = -36 Solving -120x + 100x2 = -36 Solving for variable 'x'. Reorder the terms: 36 + -120x + 100x2 = -36 + 36 Combine like terms: -36 + 36 = 0 36 + -120x + 100x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(9 + -30x + 25x2) = 0 Factor a trinomial. 4((3 + -5x)(3 + -5x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 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 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6Subproblem 2
Set the factor '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 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 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6Solution
x = {0.6, 0.6}
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