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Simplifying 22x = x3 + -9x2 Reorder the terms: 22x = -9x2 + x3 Solving 22x = -9x2 + x3 Solving for variable 'x'. Reorder the terms: 22x + 9x2 + -1x3 = -9x2 + 9x2 + x3 + -1x3 Combine like terms: -9x2 + 9x2 = 0 22x + 9x2 + -1x3 = 0 + x3 + -1x3 22x + 9x2 + -1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 22x + 9x2 + -1x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(22 + 9x + -1x2) = 0 Factor a trinomial. x((11 + -1x)(2 + 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 '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11Subproblem 3
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {0, 11, -2}
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