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Simplifying x2 + 9x = -20forx Reorder the terms: 9x + x2 = -20forx Solving 9x + x2 = -20forx Solving for variable 'x'. Reorder the terms: 20forx + 9x + x2 = -20forx + 20forx Combine like terms: -20forx + 20forx = 0 20forx + 9x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(20for + 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 '(20for + 9 + x)' equal to zero and attempt to solve: Simplifying 20for + 9 + x = 0 Reorder the terms: 9 + 20for + x = 0 Solving 9 + 20for + 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 + 20for + -9 + x = 0 + -9 Reorder the terms: 9 + -9 + 20for + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 20for + x = 0 + -9 20for + x = 0 + -9 Combine like terms: 0 + -9 = -9 20for + x = -9 Add '-20for' to each side of the equation. 20for + -20for + x = -9 + -20for Combine like terms: 20for + -20for = 0 0 + x = -9 + -20for x = -9 + -20for Simplifying x = -9 + -20forSolution
x = {0, -9 + -20for}
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