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Simplifying (X + 4)(3x + 3) = 0 Reorder the terms: (4 + X)(3x + 3) = 0 Reorder the terms: (4 + X)(3 + 3x) = 0 Multiply (4 + X) * (3 + 3x) (4(3 + 3x) + X(3 + 3x)) = 0 ((3 * 4 + 3x * 4) + X(3 + 3x)) = 0 ((12 + 12x) + X(3 + 3x)) = 0 (12 + 12x + (3 * X + 3x * X)) = 0 (12 + 12x + (3X + 3xX)) = 0 Reorder the terms: (12 + 3X + 12x + 3xX) = 0 (12 + 3X + 12x + 3xX) = 0 Solving 12 + 3X + 12x + 3xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 3X + 12x + -12 + 3xX = 0 + -12 Reorder the terms: 12 + -12 + 3X + 12x + 3xX = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 3X + 12x + 3xX = 0 + -12 3X + 12x + 3xX = 0 + -12 Combine like terms: 0 + -12 = -12 3X + 12x + 3xX = -12 Add '-12x' to each side of the equation. 3X + 12x + -12x + 3xX = -12 + -12x Combine like terms: 12x + -12x = 0 3X + 0 + 3xX = -12 + -12x 3X + 3xX = -12 + -12x Reorder the terms: 12 + 3X + 12x + 3xX = -12 + -12x + 12 + 12x Reorder the terms: 12 + 3X + 12x + 3xX = -12 + 12 + -12x + 12x Combine like terms: -12 + 12 = 0 12 + 3X + 12x + 3xX = 0 + -12x + 12x 12 + 3X + 12x + 3xX = -12x + 12x Combine like terms: -12x + 12x = 0 12 + 3X + 12x + 3xX = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(4 + X + 4x + xX) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(4 + X + 4x + xX)' equal to zero and attempt to solve: Simplifying 4 + X + 4x + xX = 0 Solving 4 + X + 4x + xX = 0 Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + X + 4x + -4 + xX = 0 + -4 Reorder the terms: 4 + -4 + X + 4x + xX = 0 + -4 Combine like terms: 4 + -4 = 0 0 + X + 4x + xX = 0 + -4 X + 4x + xX = 0 + -4 Combine like terms: 0 + -4 = -4 X + 4x + xX = -4 Add '-4x' to each side of the equation. X + 4x + -4x + xX = -4 + -4x Combine like terms: 4x + -4x = 0 X + 0 + xX = -4 + -4x X + xX = -4 + -4x 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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