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Simplifying 0 = 8x(2x + 9) Reorder the terms: 0 = 8x(9 + 2x) 0 = (9 * 8x + 2x * 8x) 0 = (72x + 16x2) Solving 0 = 72x + 16x2 Solving for variable 'x'. Remove the zero: -72x + -16x2 = 72x + 16x2 + -72x + -16x2 Reorder the terms: -72x + -16x2 = 72x + -72x + 16x2 + -16x2 Combine like terms: 72x + -72x = 0 -72x + -16x2 = 0 + 16x2 + -16x2 -72x + -16x2 = 16x2 + -16x2 Combine like terms: 16x2 + -16x2 = 0 -72x + -16x2 = 0 Factor out the Greatest Common Factor (GCF), '-8x'. -8x(9 + 2x) = 0 Ignore the factor -8.Subproblem 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 '(9 + 2x)' equal to zero and attempt to solve: Simplifying 9 + 2x = 0 Solving 9 + 2x = 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 + 2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 0 + -9 2x = 0 + -9 Combine like terms: 0 + -9 = -9 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5Solution
x = {0, -4.5}
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