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Simplifying C(x) = -6x2 + 132x Multiply C * x xC = -6x2 + 132x Reorder the terms: xC = 132x + -6x2 Solving xC = 132x + -6x2 Solving for variable 'x'. Reorder the terms: -132x + xC + 6x2 = 132x + -6x2 + -132x + 6x2 Reorder the terms: -132x + xC + 6x2 = 132x + -132x + -6x2 + 6x2 Combine like terms: 132x + -132x = 0 -132x + xC + 6x2 = 0 + -6x2 + 6x2 -132x + xC + 6x2 = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 -132x + xC + 6x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-132 + C + 6x) = 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 '(-132 + C + 6x)' equal to zero and attempt to solve: Simplifying -132 + C + 6x = 0 Solving -132 + C + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '132' to each side of the equation. -132 + C + 132 + 6x = 0 + 132 Reorder the terms: -132 + 132 + C + 6x = 0 + 132 Combine like terms: -132 + 132 = 0 0 + C + 6x = 0 + 132 C + 6x = 0 + 132 Combine like terms: 0 + 132 = 132 C + 6x = 132 Add '-1C' to each side of the equation. C + -1C + 6x = 132 + -1C Combine like terms: C + -1C = 0 0 + 6x = 132 + -1C 6x = 132 + -1C Divide each side by '6'. x = 22 + -0.1666666667C Simplifying x = 22 + -0.1666666667CSolution
x = {0, 22 + -0.1666666667C}
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