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Simplifying x2 + 4x * 32 = 0 Reorder the terms for easier multiplication: x2 + 4 * 32x = 0 Multiply 4 * 32 x2 + 128x = 0 Reorder the terms: 128x + x2 = 0 Solving 128x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(128 + 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 '(128 + x)' equal to zero and attempt to solve: Simplifying 128 + x = 0 Solving 128 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-128' to each side of the equation. 128 + -128 + x = 0 + -128 Combine like terms: 128 + -128 = 0 0 + x = 0 + -128 x = 0 + -128 Combine like terms: 0 + -128 = -128 x = -128 Simplifying x = -128Solution
x = {0, -128}
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