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Simplifying -0.5 * 32x2 + 12x + 22 = 22 Multiply -0.5 * 32 -16x2 + 12x + 22 = 22 Reorder the terms: 22 + 12x + -16x2 = 22 Add '-22' to each side of the equation. 22 + 12x + -22 + -16x2 = 22 + -22 Reorder the terms: 22 + -22 + 12x + -16x2 = 22 + -22 Combine like terms: 22 + -22 = 0 0 + 12x + -16x2 = 22 + -22 12x + -16x2 = 22 + -22 Combine like terms: 22 + -22 = 0 12x + -16x2 = 0 Solving 12x + -16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(3 + -4x) = 0 Ignore the factor 4.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 '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Solution
x = {0, 0.75}
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