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Simplifying 2p3 + 3p2 + -8p3 + -6p3 = 0 Reorder the terms: 3p2 + 2p3 + -8p3 + -6p3 = 0 Combine like terms: 2p3 + -8p3 = -6p3 3p2 + -6p3 + -6p3 = 0 Combine like terms: -6p3 + -6p3 = -12p3 3p2 + -12p3 = 0 Solving 3p2 + -12p3 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '3p2'. 3p2(1 + -4p) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'p2' equal to zero and attempt to solve: Simplifying p2 = 0 Solving p2 = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p2 = 0 Take the square root of each side: p = {0}Subproblem 2
Set the factor '(1 + -4p)' equal to zero and attempt to solve: Simplifying 1 + -4p = 0 Solving 1 + -4p = 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 + -4p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4p = 0 + -1 -4p = 0 + -1 Combine like terms: 0 + -1 = -1 -4p = -1 Divide each side by '-4'. p = 0.25 Simplifying p = 0.25Solution
p = {0, 0.25}
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