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Simplifying factorx(800 + -1x((40 + -1x) + (20 + -1x)) * 2) = 1500 Remove parenthesis around (40 + -1x) acfortx(800 + -1x(40 + -1x + (20 + -1x)) * 2) = 1500 Remove parenthesis around (20 + -1x) acfortx(800 + -1x(40 + -1x + 20 + -1x) * 2) = 1500 Reorder the terms: acfortx(800 + -1x(40 + 20 + -1x + -1x) * 2) = 1500 Combine like terms: 40 + 20 = 60 acfortx(800 + -1x(60 + -1x + -1x) * 2) = 1500 Combine like terms: -1x + -1x = -2x acfortx(800 + -1x(60 + -2x) * 2) = 1500 Reorder the terms for easier multiplication: acfortx(800 + -1 * 2x(60 + -2x)) = 1500 Multiply -1 * 2 acfortx(800 + -2x(60 + -2x)) = 1500 acfortx(800 + (60 * -2x + -2x * -2x)) = 1500 acfortx(800 + (-120x + 4x2)) = 1500 (800 * acfortx + -120x * acfortx + 4x2 * acfortx) = 1500 (800acfortx + -120acfortx2 + 4acfortx3) = 1500 Solving 800acfortx + -120acfortx2 + 4acfortx3 = 1500 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Reorder the terms: -1500 + 800acfortx + -120acfortx2 + 4acfortx3 = 1500 + -1500 Combine like terms: 1500 + -1500 = 0 -1500 + 800acfortx + -120acfortx2 + 4acfortx3 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-375 + 200acfortx + -30acfortx2 + acfortx3) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-375 + 200acfortx + -30acfortx2 + acfortx3)' equal to zero and attempt to solve: Simplifying -375 + 200acfortx + -30acfortx2 + acfortx3 = 0 Solving -375 + 200acfortx + -30acfortx2 + acfortx3 = 0 Move all terms containing a to the left, all other terms to the right. Add '375' to each side of the equation. -375 + 200acfortx + -30acfortx2 + 375 + acfortx3 = 0 + 375 Reorder the terms: -375 + 375 + 200acfortx + -30acfortx2 + acfortx3 = 0 + 375 Combine like terms: -375 + 375 = 0 0 + 200acfortx + -30acfortx2 + acfortx3 = 0 + 375 200acfortx + -30acfortx2 + acfortx3 = 0 + 375 Combine like terms: 0 + 375 = 375 200acfortx + -30acfortx2 + acfortx3 = 375 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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