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Simplifying (2x + 6)(3X + -3) = 0 Reorder the terms: (6 + 2x)(3X + -3) = 0 Reorder the terms: (6 + 2x)(-3 + 3X) = 0 Multiply (6 + 2x) * (-3 + 3X) (6(-3 + 3X) + 2x * (-3 + 3X)) = 0 ((-3 * 6 + 3X * 6) + 2x * (-3 + 3X)) = 0 ((-18 + 18X) + 2x * (-3 + 3X)) = 0 (-18 + 18X + (-3 * 2x + 3X * 2x)) = 0 (-18 + 18X + (-6x + 6xX)) = 0 (-18 + 18X + -6x + 6xX) = 0 Solving -18 + 18X + -6x + 6xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18X + -6x + 18 + 6xX = 0 + 18 Reorder the terms: -18 + 18 + 18X + -6x + 6xX = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 18X + -6x + 6xX = 0 + 18 18X + -6x + 6xX = 0 + 18 Combine like terms: 0 + 18 = 18 18X + -6x + 6xX = 18 Add '6x' to each side of the equation. 18X + -6x + 6x + 6xX = 18 + 6x Combine like terms: -6x + 6x = 0 18X + 0 + 6xX = 18 + 6x 18X + 6xX = 18 + 6x Reorder the terms: -18 + 18X + -6x + 6xX = 18 + 6x + -18 + -6x Reorder the terms: -18 + 18X + -6x + 6xX = 18 + -18 + 6x + -6x Combine like terms: 18 + -18 = 0 -18 + 18X + -6x + 6xX = 0 + 6x + -6x -18 + 18X + -6x + 6xX = 6x + -6x Combine like terms: 6x + -6x = 0 -18 + 18X + -6x + 6xX = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-3 + 3X + -1x + xX) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-3 + 3X + -1x + xX)' equal to zero and attempt to solve: Simplifying -3 + 3X + -1x + xX = 0 Solving -3 + 3X + -1x + xX = 0 Move all terms containing X to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3X + -1x + 3 + xX = 0 + 3 Reorder the terms: -3 + 3 + 3X + -1x + xX = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 3X + -1x + xX = 0 + 3 3X + -1x + xX = 0 + 3 Combine like terms: 0 + 3 = 3 3X + -1x + xX = 3 Add 'x' to each side of the equation. 3X + -1x + x + xX = 3 + x Combine like terms: -1x + x = 0 3X + 0 + xX = 3 + x 3X + xX = 3 + x 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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