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