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Simplifying A(x) = 240x + -3x2 Multiply A * x xA = 240x + -3x2 Solving xA = 240x + -3x2 Solving for variable 'x'. Reorder the terms: -240x + xA + 3x2 = 240x + -3x2 + -240x + 3x2 Reorder the terms: -240x + xA + 3x2 = 240x + -240x + -3x2 + 3x2 Combine like terms: 240x + -240x = 0 -240x + xA + 3x2 = 0 + -3x2 + 3x2 -240x + xA + 3x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 -240x + xA + 3x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-240 + A + 3x) = 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 '(-240 + A + 3x)' equal to zero and attempt to solve: Simplifying -240 + A + 3x = 0 Solving -240 + A + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '240' to each side of the equation. -240 + A + 240 + 3x = 0 + 240 Reorder the terms: -240 + 240 + A + 3x = 0 + 240 Combine like terms: -240 + 240 = 0 0 + A + 3x = 0 + 240 A + 3x = 0 + 240 Combine like terms: 0 + 240 = 240 A + 3x = 240 Add '-1A' to each side of the equation. A + -1A + 3x = 240 + -1A Combine like terms: A + -1A = 0 0 + 3x = 240 + -1A 3x = 240 + -1A Divide each side by '3'. x = 80 + -0.3333333333A Simplifying x = 80 + -0.3333333333ASolution
x = {0, 80 + -0.3333333333A}
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