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Simplifying 0 = ac2 + xc + aw2 + xw2 Reorder the terms: 0 = ac2 + aw2 + cx + w2x Solving 0 = ac2 + aw2 + cx + w2x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1ac2' to each side of the equation. 0 + -1ac2 = ac2 + aw2 + cx + -1ac2 + w2x Remove the zero: -1ac2 = ac2 + aw2 + cx + -1ac2 + w2x Reorder the terms: -1ac2 = ac2 + -1ac2 + aw2 + cx + w2x Combine like terms: ac2 + -1ac2 = 0 -1ac2 = 0 + aw2 + cx + w2x -1ac2 = aw2 + cx + w2x Add '-1aw2' to each side of the equation. -1ac2 + -1aw2 = aw2 + cx + -1aw2 + w2x Reorder the terms: -1ac2 + -1aw2 = aw2 + -1aw2 + cx + w2x Combine like terms: aw2 + -1aw2 = 0 -1ac2 + -1aw2 = 0 + cx + w2x -1ac2 + -1aw2 = cx + w2x Reorder the terms: -1ac2 + -1aw2 + -1cx + -1w2x = cx + -1cx + w2x + -1w2x Combine like terms: cx + -1cx = 0 -1ac2 + -1aw2 + -1cx + -1w2x = 0 + w2x + -1w2x -1ac2 + -1aw2 + -1cx + -1w2x = w2x + -1w2x Combine like terms: w2x + -1w2x = 0 -1ac2 + -1aw2 + -1cx + -1w2x = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(ac2 + aw2 + cx + w2x) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(ac2 + aw2 + cx + w2x)' equal to zero and attempt to solve: Simplifying ac2 + aw2 + cx + w2x = 0 Solving ac2 + aw2 + cx + w2x = 0 Move all terms containing a to the left, all other terms to the right. Add '-1cx' to each side of the equation. ac2 + aw2 + cx + -1cx + w2x = 0 + -1cx Combine like terms: cx + -1cx = 0 ac2 + aw2 + 0 + w2x = 0 + -1cx ac2 + aw2 + w2x = 0 + -1cx Remove the zero: ac2 + aw2 + w2x = -1cx Add '-1w2x' to each side of the equation. ac2 + aw2 + w2x + -1w2x = -1cx + -1w2x Combine like terms: w2x + -1w2x = 0 ac2 + aw2 + 0 = -1cx + -1w2x ac2 + aw2 = -1cx + -1w2x 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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