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Simplifying (P + -2)(3p + -9) = 0 Reorder the terms: (-2 + P)(3p + -9) = 0 Reorder the terms: (-2 + P)(-9 + 3p) = 0 Multiply (-2 + P) * (-9 + 3p) (-2(-9 + 3p) + P(-9 + 3p)) = 0 ((-9 * -2 + 3p * -2) + P(-9 + 3p)) = 0 ((18 + -6p) + P(-9 + 3p)) = 0 (18 + -6p + (-9 * P + 3p * P)) = 0 (18 + -6p + (-9P + 3pP)) = 0 Reorder the terms: (18 + -9P + -6p + 3pP) = 0 (18 + -9P + -6p + 3pP) = 0 Solving 18 + -9P + -6p + 3pP = 0 Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -9P + -6p + -18 + 3pP = 0 + -18 Reorder the terms: 18 + -18 + -9P + -6p + 3pP = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -9P + -6p + 3pP = 0 + -18 -9P + -6p + 3pP = 0 + -18 Combine like terms: 0 + -18 = -18 -9P + -6p + 3pP = -18 Add '6p' to each side of the equation. -9P + -6p + 6p + 3pP = -18 + 6p Combine like terms: -6p + 6p = 0 -9P + 0 + 3pP = -18 + 6p -9P + 3pP = -18 + 6p Reorder the terms: 18 + -9P + -6p + 3pP = -18 + 6p + 18 + -6p Reorder the terms: 18 + -9P + -6p + 3pP = -18 + 18 + 6p + -6p Combine like terms: -18 + 18 = 0 18 + -9P + -6p + 3pP = 0 + 6p + -6p 18 + -9P + -6p + 3pP = 6p + -6p Combine like terms: 6p + -6p = 0 18 + -9P + -6p + 3pP = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(6 + -3P + -2p + pP) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(6 + -3P + -2p + pP)' equal to zero and attempt to solve: Simplifying 6 + -3P + -2p + pP = 0 Solving 6 + -3P + -2p + pP = 0 Move all terms containing P to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -3P + -2p + -6 + pP = 0 + -6 Reorder the terms: 6 + -6 + -3P + -2p + pP = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -3P + -2p + pP = 0 + -6 -3P + -2p + pP = 0 + -6 Combine like terms: 0 + -6 = -6 -3P + -2p + pP = -6 Add '2p' to each side of the equation. -3P + -2p + 2p + pP = -6 + 2p Combine like terms: -2p + 2p = 0 -3P + 0 + pP = -6 + 2p -3P + pP = -6 + 2p 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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