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Simplifying 9x + -4x2 = x3 + 4x2 Reorder the terms: 9x + -4x2 = 4x2 + x3 Solving 9x + -4x2 = 4x2 + x3 Solving for variable 'x'. Combine like terms: -4x2 + -4x2 = -8x2 9x + -8x2 + -1x3 = 4x2 + x3 + -4x2 + -1x3 Reorder the terms: 9x + -8x2 + -1x3 = 4x2 + -4x2 + x3 + -1x3 Combine like terms: 4x2 + -4x2 = 0 9x + -8x2 + -1x3 = 0 + x3 + -1x3 9x + -8x2 + -1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 9x + -8x2 + -1x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(9 + -8x + -1x2) = 0 Factor a trinomial. x((1 + -1x)(9 + x)) = 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 '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 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 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Solution
x = {0, 1, -9}
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