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Simplifying 7p + -2p2 + -1(3p + 5p2) = 0 7p + -2p2 + (3p * -1 + 5p2 * -1) = 0 7p + -2p2 + (-3p + -5p2) = 0 Reorder the terms: 7p + -3p + -2p2 + -5p2 = 0 Combine like terms: 7p + -3p = 4p 4p + -2p2 + -5p2 = 0 Combine like terms: -2p2 + -5p2 = -7p2 4p + -7p2 = 0 Solving 4p + -7p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p'. p(4 + -7p) = 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 '(4 + -7p)' equal to zero and attempt to solve: Simplifying 4 + -7p = 0 Solving 4 + -7p = 0 Move all terms containing p to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -7p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7p = 0 + -4 -7p = 0 + -4 Combine like terms: 0 + -4 = -4 -7p = -4 Divide each side by '-7'. p = 0.5714285714 Simplifying p = 0.5714285714Solution
p = {0, 0.5714285714}
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