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Simplifying X(18 + -2x)(12 + -2x) = 200 Multiply (18 + -2x) * (12 + -2x) X(18(12 + -2x) + -2x * (12 + -2x)) = 200 X((12 * 18 + -2x * 18) + -2x * (12 + -2x)) = 200 X((216 + -36x) + -2x * (12 + -2x)) = 200 X(216 + -36x + (12 * -2x + -2x * -2x)) = 200 X(216 + -36x + (-24x + 4x2)) = 200 Combine like terms: -36x + -24x = -60x X(216 + -60x + 4x2) = 200 (216 * X + -60x * X + 4x2 * X) = 200 (216X + -60xX + 4x2X) = 200 Solving 216X + -60xX + 4x2X = 200 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Reorder the terms: -200 + 216X + -60xX + 4x2X = 200 + -200 Combine like terms: 200 + -200 = 0 -200 + 216X + -60xX + 4x2X = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-50 + 54X + -15xX + x2X) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-50 + 54X + -15xX + x2X)' equal to zero and attempt to solve: Simplifying -50 + 54X + -15xX + x2X = 0 Solving -50 + 54X + -15xX + x2X = 0 Move all terms containing X to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 54X + -15xX + 50 + x2X = 0 + 50 Reorder the terms: -50 + 50 + 54X + -15xX + x2X = 0 + 50 Combine like terms: -50 + 50 = 0 0 + 54X + -15xX + x2X = 0 + 50 54X + -15xX + x2X = 0 + 50 Combine like terms: 0 + 50 = 50 54X + -15xX + x2X = 50 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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