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Simplifying 32x2 + 18x = 0 Reorder the terms: 18x + 32x2 = 0 Solving 18x + 32x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(9 + 16x) = 0 Ignore the factor 2.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 + 16x)' equal to zero and attempt to solve: Simplifying 9 + 16x = 0 Solving 9 + 16x = 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 + 16x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 16x = 0 + -9 16x = 0 + -9 Combine like terms: 0 + -9 = -9 16x = -9 Divide each side by '16'. x = -0.5625 Simplifying x = -0.5625Solution
x = {0, -0.5625}
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