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Simplifying A(x) = 120x + -60x2 Multiply A * x xA = 120x + -60x2 Solving xA = 120x + -60x2 Solving for variable 'x'. Reorder the terms: -120x + xA + 60x2 = 120x + -60x2 + -120x + 60x2 Reorder the terms: -120x + xA + 60x2 = 120x + -120x + -60x2 + 60x2 Combine like terms: 120x + -120x = 0 -120x + xA + 60x2 = 0 + -60x2 + 60x2 -120x + xA + 60x2 = -60x2 + 60x2 Combine like terms: -60x2 + 60x2 = 0 -120x + xA + 60x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-120 + A + 60x) = 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 '(-120 + A + 60x)' equal to zero and attempt to solve: Simplifying -120 + A + 60x = 0 Solving -120 + A + 60x = 0 Move all terms containing x to the left, all other terms to the right. Add '120' to each side of the equation. -120 + A + 120 + 60x = 0 + 120 Reorder the terms: -120 + 120 + A + 60x = 0 + 120 Combine like terms: -120 + 120 = 0 0 + A + 60x = 0 + 120 A + 60x = 0 + 120 Combine like terms: 0 + 120 = 120 A + 60x = 120 Add '-1A' to each side of the equation. A + -1A + 60x = 120 + -1A Combine like terms: A + -1A = 0 0 + 60x = 120 + -1A 60x = 120 + -1A Divide each side by '60'. x = 2 + -0.01666666667A Simplifying x = 2 + -0.01666666667ASolution
x = {0, 2 + -0.01666666667A}
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