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Simplifying 6 = -0.5 * 32x2 + 60x + 6 Multiply -0.5 * 32 6 = -16x2 + 60x + 6 Reorder the terms: 6 = 6 + 60x + -16x2 Add '-6' to each side of the equation. 6 + -6 = 6 + 60x + -6 + -16x2 Combine like terms: 6 + -6 = 0 0 = 6 + 60x + -6 + -16x2 Reorder the terms: 0 = 6 + -6 + 60x + -16x2 Combine like terms: 6 + -6 = 0 0 = 0 + 60x + -16x2 0 = 60x + -16x2 Solving 0 = 60x + -16x2 Solving for variable 'x'. Remove the zero: -60x + 16x2 = 60x + -16x2 + -60x + 16x2 Reorder the terms: -60x + 16x2 = 60x + -60x + -16x2 + 16x2 Combine like terms: 60x + -60x = 0 -60x + 16x2 = 0 + -16x2 + 16x2 -60x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 -60x + 16x2 = 0 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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