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Simplifying X(40 + -2x) + x(40 + -2) + x(60 + -2x) + x(60 + -2x) + x(60 + -2x) = 0 (40 * X + -2x * X) + x(40 + -2) + x(60 + -2x) + x(60 + -2x) + x(60 + -2x) = 0 (40X + -2xX) + x(40 + -2) + x(60 + -2x) + x(60 + -2x) + x(60 + -2x) = 0 Combine like terms: 40 + -2 = 38 40X + -2xX + x(38) + x(60 + -2x) + x(60 + -2x) + x(60 + -2x) = 0 Reorder the terms for easier multiplication: 40X + -2xX + 38x + x(60 + -2x) + x(60 + -2x) + x(60 + -2x) = 0 40X + -2xX + 38x + (60 * x + -2x * x) + x(60 + -2x) + x(60 + -2x) = 0 40X + -2xX + 38x + (60x + -2x2) + x(60 + -2x) + x(60 + -2x) = 0 40X + -2xX + 38x + 60x + -2x2 + (60 * x + -2x * x) + x(60 + -2x) = 0 40X + -2xX + 38x + 60x + -2x2 + (60x + -2x2) + x(60 + -2x) = 0 40X + -2xX + 38x + 60x + -2x2 + 60x + -2x2 + (60 * x + -2x * x) = 0 40X + -2xX + 38x + 60x + -2x2 + 60x + -2x2 + (60x + -2x2) = 0 Reorder the terms: 40X + 38x + 60x + 60x + 60x + -2xX + -2x2 + -2x2 + -2x2 = 0 Combine like terms: 38x + 60x = 98x 40X + 98x + 60x + 60x + -2xX + -2x2 + -2x2 + -2x2 = 0 Combine like terms: 98x + 60x = 158x 40X + 158x + 60x + -2xX + -2x2 + -2x2 + -2x2 = 0 Combine like terms: 158x + 60x = 218x 40X + 218x + -2xX + -2x2 + -2x2 + -2x2 = 0 Combine like terms: -2x2 + -2x2 = -4x2 40X + 218x + -2xX + -4x2 + -2x2 = 0 Combine like terms: -4x2 + -2x2 = -6x2 40X + 218x + -2xX + -6x2 = 0 Solving 40X + 218x + -2xX + -6x2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-218x' to each side of the equation. 40X + 218x + -2xX + -218x + -6x2 = 0 + -218x Reorder the terms: 40X + 218x + -218x + -2xX + -6x2 = 0 + -218x Combine like terms: 218x + -218x = 0 40X + 0 + -2xX + -6x2 = 0 + -218x 40X + -2xX + -6x2 = 0 + -218x Remove the zero: 40X + -2xX + -6x2 = -218x Add '6x2' to each side of the equation. 40X + -2xX + -6x2 + 6x2 = -218x + 6x2 Combine like terms: -6x2 + 6x2 = 0 40X + -2xX + 0 = -218x + 6x2 40X + -2xX = -218x + 6x2 Reorder the terms: 40X + 218x + -2xX + -6x2 = -218x + 6x2 + 218x + -6x2 Reorder the terms: 40X + 218x + -2xX + -6x2 = -218x + 218x + 6x2 + -6x2 Combine like terms: -218x + 218x = 0 40X + 218x + -2xX + -6x2 = 0 + 6x2 + -6x2 40X + 218x + -2xX + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 40X + 218x + -2xX + -6x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(20X + 109x + -1xX + -3x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(20X + 109x + -1xX + -3x2)' equal to zero and attempt to solve: Simplifying 20X + 109x + -1xX + -3x2 = 0 Solving 20X + 109x + -1xX + -3x2 = 0 Move all terms containing X to the left, all other terms to the right. Add '-109x' to each side of the equation. 20X + 109x + -1xX + -109x + -3x2 = 0 + -109x Reorder the terms: 20X + 109x + -109x + -1xX + -3x2 = 0 + -109x Combine like terms: 109x + -109x = 0 20X + 0 + -1xX + -3x2 = 0 + -109x 20X + -1xX + -3x2 = 0 + -109x Remove the zero: 20X + -1xX + -3x2 = -109x Add '3x2' to each side of the equation. 20X + -1xX + -3x2 + 3x2 = -109x + 3x2 Combine like terms: -3x2 + 3x2 = 0 20X + -1xX + 0 = -109x + 3x2 20X + -1xX = -109x + 3x2 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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