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Simplifying x2 + 20x = -9x Reorder the terms: 20x + x2 = -9x Solving 20x + x2 = -9x Solving for variable 'x'. Reorder the terms: 20x + 9x + x2 = -9x + 9x Combine like terms: 20x + 9x = 29x 29x + x2 = -9x + 9x Combine like terms: -9x + 9x = 0 29x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(29 + 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 '(29 + x)' equal to zero and attempt to solve: Simplifying 29 + x = 0 Solving 29 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + x = 0 + -29 x = 0 + -29 Combine like terms: 0 + -29 = -29 x = -29 Simplifying x = -29Solution
x = {0, -29}
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