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Simplifying -0.5 * 32x2 + 60x + 6 = 6 Multiply -0.5 * 32 -16x2 + 60x + 6 = 6 Reorder the terms: 6 + 60x + -16x2 = 6 Add '-6' to each side of the equation. 6 + 60x + -6 + -16x2 = 6 + -6 Reorder the terms: 6 + -6 + 60x + -16x2 = 6 + -6 Combine like terms: 6 + -6 = 0 0 + 60x + -16x2 = 6 + -6 60x + -16x2 = 6 + -6 Combine like terms: 6 + -6 = 0 60x + -16x2 = 0 Solving 60x + -16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(15 + -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 '(15 + -4x)' equal to zero and attempt to solve: Simplifying 15 + -4x = 0 Solving 15 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -4x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -4x = 0 + -15 -4x = 0 + -15 Combine like terms: 0 + -15 = -15 -4x = -15 Divide each side by '-4'. x = 3.75 Simplifying x = 3.75Solution
x = {0, 3.75}
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