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Simplifying (2x + -23)(4w + -50) = 180 Reorder the terms: (-23 + 2x)(4w + -50) = 180 Reorder the terms: (-23 + 2x)(-50 + 4w) = 180 Multiply (-23 + 2x) * (-50 + 4w) (-23(-50 + 4w) + 2x * (-50 + 4w)) = 180 ((-50 * -23 + 4w * -23) + 2x * (-50 + 4w)) = 180 ((1150 + -92w) + 2x * (-50 + 4w)) = 180 (1150 + -92w + (-50 * 2x + 4w * 2x)) = 180 Reorder the terms: (1150 + -92w + (8wx + -100x)) = 180 (1150 + -92w + (8wx + -100x)) = 180 (1150 + -92w + 8wx + -100x) = 180 Solving 1150 + -92w + 8wx + -100x = 180 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1150' to each side of the equation. 1150 + -92w + 8wx + -1150 + -100x = 180 + -1150 Reorder the terms: 1150 + -1150 + -92w + 8wx + -100x = 180 + -1150 Combine like terms: 1150 + -1150 = 0 0 + -92w + 8wx + -100x = 180 + -1150 -92w + 8wx + -100x = 180 + -1150 Combine like terms: 180 + -1150 = -970 -92w + 8wx + -100x = -970 Add '100x' to each side of the equation. -92w + 8wx + -100x + 100x = -970 + 100x Combine like terms: -100x + 100x = 0 -92w + 8wx + 0 = -970 + 100x -92w + 8wx = -970 + 100x Reorder the terms: 970 + -92w + 8wx + -100x = -970 + 100x + 970 + -100x Reorder the terms: 970 + -92w + 8wx + -100x = -970 + 970 + 100x + -100x Combine like terms: -970 + 970 = 0 970 + -92w + 8wx + -100x = 0 + 100x + -100x 970 + -92w + 8wx + -100x = 100x + -100x Combine like terms: 100x + -100x = 0 970 + -92w + 8wx + -100x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(485 + -46w + 4wx + -50x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(485 + -46w + 4wx + -50x)' equal to zero and attempt to solve: Simplifying 485 + -46w + 4wx + -50x = 0 Solving 485 + -46w + 4wx + -50x = 0 Move all terms containing w to the left, all other terms to the right. Add '-485' to each side of the equation. 485 + -46w + 4wx + -485 + -50x = 0 + -485 Reorder the terms: 485 + -485 + -46w + 4wx + -50x = 0 + -485 Combine like terms: 485 + -485 = 0 0 + -46w + 4wx + -50x = 0 + -485 -46w + 4wx + -50x = 0 + -485 Combine like terms: 0 + -485 = -485 -46w + 4wx + -50x = -485 Add '50x' to each side of the equation. -46w + 4wx + -50x + 50x = -485 + 50x Combine like terms: -50x + 50x = 0 -46w + 4wx + 0 = -485 + 50x -46w + 4wx = -485 + 50x 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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