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Simplifying 0 = X(75 + -3x2) + -1(75 + 3x) 0 = (75 * X + -3x2 * X) + -1(75 + 3x) 0 = (75X + -3x2X) + -1(75 + 3x) 0 = 75X + -3x2X + (75 * -1 + 3x * -1) 0 = 75X + -3x2X + (-75 + -3x) Reorder the terms: 0 = -75 + 75X + -3x + -3x2X Solving 0 = -75 + 75X + -3x + -3x2X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-75X' to each side of the equation. 0 + -75X = -75 + 75X + -3x + -75X + -3x2X Remove the zero: -75X = -75 + 75X + -3x + -75X + -3x2X Reorder the terms: -75X = -75 + 75X + -75X + -3x + -3x2X Combine like terms: 75X + -75X = 0 -75X = -75 + 0 + -3x + -3x2X -75X = -75 + -3x + -3x2X Add '3x2X' to each side of the equation. -75X + 3x2X = -75 + -3x + -3x2X + 3x2X Combine like terms: -3x2X + 3x2X = 0 -75X + 3x2X = -75 + -3x + 0 -75X + 3x2X = -75 + -3x Reorder the terms: 75 + -75X + 3x + 3x2X = -75 + -3x + 75 + 3x Reorder the terms: 75 + -75X + 3x + 3x2X = -75 + 75 + -3x + 3x Combine like terms: -75 + 75 = 0 75 + -75X + 3x + 3x2X = 0 + -3x + 3x 75 + -75X + 3x + 3x2X = -3x + 3x Combine like terms: -3x + 3x = 0 75 + -75X + 3x + 3x2X = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(25 + -25X + x + x2X) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(25 + -25X + x + x2X)' equal to zero and attempt to solve: Simplifying 25 + -25X + x + x2X = 0 Solving 25 + -25X + x + x2X = 0 Move all terms containing X to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25X + x + -25 + x2X = 0 + -25 Reorder the terms: 25 + -25 + -25X + x + x2X = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -25X + x + x2X = 0 + -25 -25X + x + x2X = 0 + -25 Combine like terms: 0 + -25 = -25 -25X + x + x2X = -25 Add '-1x' to each side of the equation. -25X + x + -1x + x2X = -25 + -1x Combine like terms: x + -1x = 0 -25X + 0 + x2X = -25 + -1x -25X + x2X = -25 + -1x 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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