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Simplifying 115x2 = -20x Solving 115x2 = -20x Solving for variable 'x'. Reorder the terms: 20x + 115x2 = -20x + 20x Combine like terms: -20x + 20x = 0 20x + 115x2 = 0 Factor out the Greatest Common Factor (GCF), '5x'. 5x(4 + 23x) = 0 Ignore the factor 5.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 '(4 + 23x)' equal to zero and attempt to solve: Simplifying 4 + 23x = 0 Solving 4 + 23x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 23x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 23x = 0 + -4 23x = 0 + -4 Combine like terms: 0 + -4 = -4 23x = -4 Divide each side by '23'. x = -0.1739130435 Simplifying x = -0.1739130435Solution
x = {0, -0.1739130435}
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