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Simplifying 5p + -5(2p2) = 0 Remove parenthesis around (2p2) 5p + -5 * 2p2 = 0 Multiply -5 * 2 5p + -10p2 = 0 Solving 5p + -10p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '5p'. 5p(1 + -2p) = 0 Ignore the factor 5.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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