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Simplifying (3p2 + -3p + -5) + -1(2p2 + -2p + -5) = 0 Reorder the terms: (-5 + -3p + 3p2) + -1(2p2 + -2p + -5) = 0 Remove parenthesis around (-5 + -3p + 3p2) -5 + -3p + 3p2 + -1(2p2 + -2p + -5) = 0 Reorder the terms: -5 + -3p + 3p2 + -1(-5 + -2p + 2p2) = 0 -5 + -3p + 3p2 + (-5 * -1 + -2p * -1 + 2p2 * -1) = 0 -5 + -3p + 3p2 + (5 + 2p + -2p2) = 0 Reorder the terms: -5 + 5 + -3p + 2p + 3p2 + -2p2 = 0 Combine like terms: -5 + 5 = 0 0 + -3p + 2p + 3p2 + -2p2 = 0 -3p + 2p + 3p2 + -2p2 = 0 Combine like terms: -3p + 2p = -1p -1p + 3p2 + -2p2 = 0 Combine like terms: 3p2 + -2p2 = 1p2 -1p + 1p2 = 0 Solving -1p + 1p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p'. p(-1 + p) = 0Subproblem 1
Set the factor 'p' equal to zero and attempt to solve: Simplifying p = 0 Solving p = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p = 0Subproblem 2
Set the factor '(-1 + p)' equal to zero and attempt to solve: Simplifying -1 + p = 0 Solving -1 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + p = 0 + 1 Combine like terms: -1 + 1 = 0 0 + p = 0 + 1 p = 0 + 1 Combine like terms: 0 + 1 = 1 p = 1 Simplifying p = 1Solution
p = {0, 1}
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