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Simplifying (3x + -2)(4w + 4) = 0 Reorder the terms: (-2 + 3x)(4w + 4) = 0 Reorder the terms: (-2 + 3x)(4 + 4w) = 0 Multiply (-2 + 3x) * (4 + 4w) (-2(4 + 4w) + 3x * (4 + 4w)) = 0 ((4 * -2 + 4w * -2) + 3x * (4 + 4w)) = 0 ((-8 + -8w) + 3x * (4 + 4w)) = 0 (-8 + -8w + (4 * 3x + 4w * 3x)) = 0 Reorder the terms: (-8 + -8w + (12wx + 12x)) = 0 (-8 + -8w + (12wx + 12x)) = 0 (-8 + -8w + 12wx + 12x) = 0 Solving -8 + -8w + 12wx + 12x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -8w + 12wx + 8 + 12x = 0 + 8 Reorder the terms: -8 + 8 + -8w + 12wx + 12x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -8w + 12wx + 12x = 0 + 8 -8w + 12wx + 12x = 0 + 8 Combine like terms: 0 + 8 = 8 -8w + 12wx + 12x = 8 Add '-12x' to each side of the equation. -8w + 12wx + 12x + -12x = 8 + -12x Combine like terms: 12x + -12x = 0 -8w + 12wx + 0 = 8 + -12x -8w + 12wx = 8 + -12x Reorder the terms: -8 + -8w + 12wx + 12x = 8 + -12x + -8 + 12x Reorder the terms: -8 + -8w + 12wx + 12x = 8 + -8 + -12x + 12x Combine like terms: 8 + -8 = 0 -8 + -8w + 12wx + 12x = 0 + -12x + 12x -8 + -8w + 12wx + 12x = -12x + 12x Combine like terms: -12x + 12x = 0 -8 + -8w + 12wx + 12x = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-2 + -2w + 3wx + 3x) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-2 + -2w + 3wx + 3x)' equal to zero and attempt to solve: Simplifying -2 + -2w + 3wx + 3x = 0 Solving -2 + -2w + 3wx + 3x = 0 Move all terms containing w to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -2w + 3wx + 2 + 3x = 0 + 2 Reorder the terms: -2 + 2 + -2w + 3wx + 3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -2w + 3wx + 3x = 0 + 2 -2w + 3wx + 3x = 0 + 2 Combine like terms: 0 + 2 = 2 -2w + 3wx + 3x = 2 Add '-3x' to each side of the equation. -2w + 3wx + 3x + -3x = 2 + -3x Combine like terms: 3x + -3x = 0 -2w + 3wx + 0 = 2 + -3x -2w + 3wx = 2 + -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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