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Simplifying (X + 5)(9x + 5x + -4) = 0 Reorder the terms: (5 + X)(9x + 5x + -4) = 0 Reorder the terms: (5 + X)(-4 + 9x + 5x) = 0 Combine like terms: 9x + 5x = 14x (5 + X)(-4 + 14x) = 0 Multiply (5 + X) * (-4 + 14x) (5(-4 + 14x) + X(-4 + 14x)) = 0 ((-4 * 5 + 14x * 5) + X(-4 + 14x)) = 0 ((-20 + 70x) + X(-4 + 14x)) = 0 (-20 + 70x + (-4 * X + 14x * X)) = 0 (-20 + 70x + (-4X + 14xX)) = 0 Reorder the terms: (-20 + -4X + 70x + 14xX) = 0 (-20 + -4X + 70x + 14xX) = 0 Solving -20 + -4X + 70x + 14xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '20' to each side of the equation. -20 + -4X + 70x + 20 + 14xX = 0 + 20 Reorder the terms: -20 + 20 + -4X + 70x + 14xX = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -4X + 70x + 14xX = 0 + 20 -4X + 70x + 14xX = 0 + 20 Combine like terms: 0 + 20 = 20 -4X + 70x + 14xX = 20 Add '-70x' to each side of the equation. -4X + 70x + -70x + 14xX = 20 + -70x Combine like terms: 70x + -70x = 0 -4X + 0 + 14xX = 20 + -70x -4X + 14xX = 20 + -70x Reorder the terms: -20 + -4X + 70x + 14xX = 20 + -70x + -20 + 70x Reorder the terms: -20 + -4X + 70x + 14xX = 20 + -20 + -70x + 70x Combine like terms: 20 + -20 = 0 -20 + -4X + 70x + 14xX = 0 + -70x + 70x -20 + -4X + 70x + 14xX = -70x + 70x Combine like terms: -70x + 70x = 0 -20 + -4X + 70x + 14xX = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-10 + -2X + 35x + 7xX) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-10 + -2X + 35x + 7xX)' equal to zero and attempt to solve: Simplifying -10 + -2X + 35x + 7xX = 0 Solving -10 + -2X + 35x + 7xX = 0 Move all terms containing X to the left, all other terms to the right. Add '10' to each side of the equation. -10 + -2X + 35x + 10 + 7xX = 0 + 10 Reorder the terms: -10 + 10 + -2X + 35x + 7xX = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -2X + 35x + 7xX = 0 + 10 -2X + 35x + 7xX = 0 + 10 Combine like terms: 0 + 10 = 10 -2X + 35x + 7xX = 10 Add '-35x' to each side of the equation. -2X + 35x + -35x + 7xX = 10 + -35x Combine like terms: 35x + -35x = 0 -2X + 0 + 7xX = 10 + -35x -2X + 7xX = 10 + -35x 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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