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Simplifying (4X + -20)(-5x + 7) = 0 Reorder the terms: (-20 + 4X)(-5x + 7) = 0 Reorder the terms: (-20 + 4X)(7 + -5x) = 0 Multiply (-20 + 4X) * (7 + -5x) (-20(7 + -5x) + 4X * (7 + -5x)) = 0 ((7 * -20 + -5x * -20) + 4X * (7 + -5x)) = 0 ((-140 + 100x) + 4X * (7 + -5x)) = 0 (-140 + 100x + (7 * 4X + -5x * 4X)) = 0 (-140 + 100x + (28X + -20xX)) = 0 Reorder the terms: (-140 + 28X + 100x + -20xX) = 0 (-140 + 28X + 100x + -20xX) = 0 Solving -140 + 28X + 100x + -20xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '140' to each side of the equation. -140 + 28X + 100x + 140 + -20xX = 0 + 140 Reorder the terms: -140 + 140 + 28X + 100x + -20xX = 0 + 140 Combine like terms: -140 + 140 = 0 0 + 28X + 100x + -20xX = 0 + 140 28X + 100x + -20xX = 0 + 140 Combine like terms: 0 + 140 = 140 28X + 100x + -20xX = 140 Add '-100x' to each side of the equation. 28X + 100x + -100x + -20xX = 140 + -100x Combine like terms: 100x + -100x = 0 28X + 0 + -20xX = 140 + -100x 28X + -20xX = 140 + -100x Reorder the terms: -140 + 28X + 100x + -20xX = 140 + -100x + -140 + 100x Reorder the terms: -140 + 28X + 100x + -20xX = 140 + -140 + -100x + 100x Combine like terms: 140 + -140 = 0 -140 + 28X + 100x + -20xX = 0 + -100x + 100x -140 + 28X + 100x + -20xX = -100x + 100x Combine like terms: -100x + 100x = 0 -140 + 28X + 100x + -20xX = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-35 + 7X + 25x + -5xX) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-35 + 7X + 25x + -5xX)' equal to zero and attempt to solve: Simplifying -35 + 7X + 25x + -5xX = 0 Solving -35 + 7X + 25x + -5xX = 0 Move all terms containing X to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 7X + 25x + 35 + -5xX = 0 + 35 Reorder the terms: -35 + 35 + 7X + 25x + -5xX = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 7X + 25x + -5xX = 0 + 35 7X + 25x + -5xX = 0 + 35 Combine like terms: 0 + 35 = 35 7X + 25x + -5xX = 35 Add '-25x' to each side of the equation. 7X + 25x + -25x + -5xX = 35 + -25x Combine like terms: 25x + -25x = 0 7X + 0 + -5xX = 35 + -25x 7X + -5xX = 35 + -25x 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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