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Simplifying 20x3 = -86x2 + 18x Reorder the terms: 20x3 = 18x + -86x2 Solving 20x3 = 18x + -86x2 Solving for variable 'x'. Reorder the terms: -18x + 86x2 + 20x3 = 18x + -86x2 + -18x + 86x2 Reorder the terms: -18x + 86x2 + 20x3 = 18x + -18x + -86x2 + 86x2 Combine like terms: 18x + -18x = 0 -18x + 86x2 + 20x3 = 0 + -86x2 + 86x2 -18x + 86x2 + 20x3 = -86x2 + 86x2 Combine like terms: -86x2 + 86x2 = 0 -18x + 86x2 + 20x3 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-9 + 43x + 10x2) = 0 Factor a trinomial. 2x((-9 + -2x)(1 + -5x)) = 0 Ignore the factor 2.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 '(-9 + -2x)' equal to zero and attempt to solve: Simplifying -9 + -2x = 0 Solving -9 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -2x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2x = 0 + 9 -2x = 0 + 9 Combine like terms: 0 + 9 = 9 -2x = 9 Divide each side by '-2'. x = -4.5 Simplifying x = -4.5Subproblem 3
Set the factor '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 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 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2Solution
x = {0, -4.5, 0.2}
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