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Simplifying (4p + -4)(13P + 27) = 0 Reorder the terms: (-4 + 4p)(13P + 27) = 0 Reorder the terms: (-4 + 4p)(27 + 13P) = 0 Multiply (-4 + 4p) * (27 + 13P) (-4(27 + 13P) + 4p * (27 + 13P)) = 0 ((27 * -4 + 13P * -4) + 4p * (27 + 13P)) = 0 ((-108 + -52P) + 4p * (27 + 13P)) = 0 (-108 + -52P + (27 * 4p + 13P * 4p)) = 0 (-108 + -52P + (108p + 52pP)) = 0 (-108 + -52P + 108p + 52pP) = 0 Solving -108 + -52P + 108p + 52pP = 0 Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '108' to each side of the equation. -108 + -52P + 108p + 108 + 52pP = 0 + 108 Reorder the terms: -108 + 108 + -52P + 108p + 52pP = 0 + 108 Combine like terms: -108 + 108 = 0 0 + -52P + 108p + 52pP = 0 + 108 -52P + 108p + 52pP = 0 + 108 Combine like terms: 0 + 108 = 108 -52P + 108p + 52pP = 108 Add '-108p' to each side of the equation. -52P + 108p + -108p + 52pP = 108 + -108p Combine like terms: 108p + -108p = 0 -52P + 0 + 52pP = 108 + -108p -52P + 52pP = 108 + -108p Reorder the terms: -108 + -52P + 108p + 52pP = 108 + -108p + -108 + 108p Reorder the terms: -108 + -52P + 108p + 52pP = 108 + -108 + -108p + 108p Combine like terms: 108 + -108 = 0 -108 + -52P + 108p + 52pP = 0 + -108p + 108p -108 + -52P + 108p + 52pP = -108p + 108p Combine like terms: -108p + 108p = 0 -108 + -52P + 108p + 52pP = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-27 + -13P + 27p + 13pP) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-27 + -13P + 27p + 13pP)' equal to zero and attempt to solve: Simplifying -27 + -13P + 27p + 13pP = 0 Solving -27 + -13P + 27p + 13pP = 0 Move all terms containing P to the left, all other terms to the right. Add '27' to each side of the equation. -27 + -13P + 27p + 27 + 13pP = 0 + 27 Reorder the terms: -27 + 27 + -13P + 27p + 13pP = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -13P + 27p + 13pP = 0 + 27 -13P + 27p + 13pP = 0 + 27 Combine like terms: 0 + 27 = 27 -13P + 27p + 13pP = 27 Add '-27p' to each side of the equation. -13P + 27p + -27p + 13pP = 27 + -27p Combine like terms: 27p + -27p = 0 -13P + 0 + 13pP = 27 + -27p -13P + 13pP = 27 + -27p 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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