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Simplifying (3x + -4)(2X + 2) = 0 Reorder the terms: (-4 + 3x)(2X + 2) = 0 Reorder the terms: (-4 + 3x)(2 + 2X) = 0 Multiply (-4 + 3x) * (2 + 2X) (-4(2 + 2X) + 3x * (2 + 2X)) = 0 ((2 * -4 + 2X * -4) + 3x * (2 + 2X)) = 0 ((-8 + -8X) + 3x * (2 + 2X)) = 0 (-8 + -8X + (2 * 3x + 2X * 3x)) = 0 (-8 + -8X + (6x + 6xX)) = 0 (-8 + -8X + 6x + 6xX) = 0 Solving -8 + -8X + 6x + 6xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -8X + 6x + 8 + 6xX = 0 + 8 Reorder the terms: -8 + 8 + -8X + 6x + 6xX = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -8X + 6x + 6xX = 0 + 8 -8X + 6x + 6xX = 0 + 8 Combine like terms: 0 + 8 = 8 -8X + 6x + 6xX = 8 Add '-6x' to each side of the equation. -8X + 6x + -6x + 6xX = 8 + -6x Combine like terms: 6x + -6x = 0 -8X + 0 + 6xX = 8 + -6x -8X + 6xX = 8 + -6x Reorder the terms: -8 + -8X + 6x + 6xX = 8 + -6x + -8 + 6x Reorder the terms: -8 + -8X + 6x + 6xX = 8 + -8 + -6x + 6x Combine like terms: 8 + -8 = 0 -8 + -8X + 6x + 6xX = 0 + -6x + 6x -8 + -8X + 6x + 6xX = -6x + 6x Combine like terms: -6x + 6x = 0 -8 + -8X + 6x + 6xX = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-4 + -4X + 3x + 3xX) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + -4X + 3x + 3xX)' equal to zero and attempt to solve: Simplifying -4 + -4X + 3x + 3xX = 0 Solving -4 + -4X + 3x + 3xX = 0 Move all terms containing X to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -4X + 3x + 4 + 3xX = 0 + 4 Reorder the terms: -4 + 4 + -4X + 3x + 3xX = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -4X + 3x + 3xX = 0 + 4 -4X + 3x + 3xX = 0 + 4 Combine like terms: 0 + 4 = 4 -4X + 3x + 3xX = 4 Add '-3x' to each side of the equation. -4X + 3x + -3x + 3xX = 4 + -3x Combine like terms: 3x + -3x = 0 -4X + 0 + 3xX = 4 + -3x -4X + 3xX = 4 + -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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