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Simplifying (X + -7)(5x + 15) = 0 Reorder the terms: (-7 + X)(5x + 15) = 0 Reorder the terms: (-7 + X)(15 + 5x) = 0 Multiply (-7 + X) * (15 + 5x) (-7(15 + 5x) + X(15 + 5x)) = 0 ((15 * -7 + 5x * -7) + X(15 + 5x)) = 0 ((-105 + -35x) + X(15 + 5x)) = 0 (-105 + -35x + (15 * X + 5x * X)) = 0 (-105 + -35x + (15X + 5xX)) = 0 Reorder the terms: (-105 + 15X + -35x + 5xX) = 0 (-105 + 15X + -35x + 5xX) = 0 Solving -105 + 15X + -35x + 5xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '105' to each side of the equation. -105 + 15X + -35x + 105 + 5xX = 0 + 105 Reorder the terms: -105 + 105 + 15X + -35x + 5xX = 0 + 105 Combine like terms: -105 + 105 = 0 0 + 15X + -35x + 5xX = 0 + 105 15X + -35x + 5xX = 0 + 105 Combine like terms: 0 + 105 = 105 15X + -35x + 5xX = 105 Add '35x' to each side of the equation. 15X + -35x + 35x + 5xX = 105 + 35x Combine like terms: -35x + 35x = 0 15X + 0 + 5xX = 105 + 35x 15X + 5xX = 105 + 35x Reorder the terms: -105 + 15X + -35x + 5xX = 105 + 35x + -105 + -35x Reorder the terms: -105 + 15X + -35x + 5xX = 105 + -105 + 35x + -35x Combine like terms: 105 + -105 = 0 -105 + 15X + -35x + 5xX = 0 + 35x + -35x -105 + 15X + -35x + 5xX = 35x + -35x Combine like terms: 35x + -35x = 0 -105 + 15X + -35x + 5xX = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-21 + 3X + -7x + xX) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-21 + 3X + -7x + xX)' equal to zero and attempt to solve: Simplifying -21 + 3X + -7x + xX = 0 Solving -21 + 3X + -7x + xX = 0 Move all terms containing X to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 3X + -7x + 21 + xX = 0 + 21 Reorder the terms: -21 + 21 + 3X + -7x + xX = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 3X + -7x + xX = 0 + 21 3X + -7x + xX = 0 + 21 Combine like terms: 0 + 21 = 21 3X + -7x + xX = 21 Add '7x' to each side of the equation. 3X + -7x + 7x + xX = 21 + 7x Combine like terms: -7x + 7x = 0 3X + 0 + xX = 21 + 7x 3X + xX = 21 + 7x 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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