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Simplifying 0 = -2x2(x + 9) Reorder the terms: 0 = -2x2(9 + x) 0 = (9 * -2x2 + x * -2x2) 0 = (-18x2 + -2x3) Solving 0 = -18x2 + -2x3 Solving for variable 'x'. Remove the zero: 18x2 + 2x3 = -18x2 + -2x3 + 18x2 + 2x3 Reorder the terms: 18x2 + 2x3 = -18x2 + 18x2 + -2x3 + 2x3 Combine like terms: -18x2 + 18x2 = 0 18x2 + 2x3 = 0 + -2x3 + 2x3 18x2 + 2x3 = -2x3 + 2x3 Combine like terms: -2x3 + 2x3 = 0 18x2 + 2x3 = 0 Factor out the Greatest Common Factor (GCF), '2x2'. 2x2(9 + x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
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, -9}
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