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Simplifying -0.5 * 32x2 + 32x + 12 = 12 Multiply -0.5 * 32 -16x2 + 32x + 12 = 12 Reorder the terms: 12 + 32x + -16x2 = 12 Add '-12' to each side of the equation. 12 + 32x + -12 + -16x2 = 12 + -12 Reorder the terms: 12 + -12 + 32x + -16x2 = 12 + -12 Combine like terms: 12 + -12 = 0 0 + 32x + -16x2 = 12 + -12 32x + -16x2 = 12 + -12 Combine like terms: 12 + -12 = 0 32x + -16x2 = 0 Solving 32x + -16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '16x'. 16x(2 + -1x) = 0 Ignore the factor 16.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 '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {0, 2}
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