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