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