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Simplifying -3(p + -5p2) + 3p2 + -6p = 0 (p * -3 + -5p2 * -3) + 3p2 + -6p = 0 (-3p + 15p2) + 3p2 + -6p = 0 Reorder the terms: -3p + -6p + 15p2 + 3p2 = 0 Combine like terms: -3p + -6p = -9p -9p + 15p2 + 3p2 = 0 Combine like terms: 15p2 + 3p2 = 18p2 -9p + 18p2 = 0 Solving -9p + 18p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '9p'. 9p(-1 + 2p) = 0 Ignore the factor 9.Subproblem 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 + 2p)' equal to zero and attempt to solve: Simplifying -1 + 2p = 0 Solving -1 + 2p = 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 + 2p = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2p = 0 + 1 2p = 0 + 1 Combine like terms: 0 + 1 = 1 2p = 1 Divide each side by '2'. p = 0.5 Simplifying p = 0.5Solution
p = {0, 0.5}
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