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