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Simplifying 5p(p + -7) + -7p(p + 2) = 0 Reorder the terms: 5p(-7 + p) + -7p(p + 2) = 0 (-7 * 5p + p * 5p) + -7p(p + 2) = 0 (-35p + 5p2) + -7p(p + 2) = 0 Reorder the terms: -35p + 5p2 + -7p(2 + p) = 0 -35p + 5p2 + (2 * -7p + p * -7p) = 0 -35p + 5p2 + (-14p + -7p2) = 0 Reorder the terms: -35p + -14p + 5p2 + -7p2 = 0 Combine like terms: -35p + -14p = -49p -49p + 5p2 + -7p2 = 0 Combine like terms: 5p2 + -7p2 = -2p2 -49p + -2p2 = 0 Solving -49p + -2p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '-1p'. -1p(49 + 2p) = 0 Ignore the factor -1.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 '(49 + 2p)' equal to zero and attempt to solve: Simplifying 49 + 2p = 0 Solving 49 + 2p = 0 Move all terms containing p to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + 2p = 0 + -49 Combine like terms: 49 + -49 = 0 0 + 2p = 0 + -49 2p = 0 + -49 Combine like terms: 0 + -49 = -49 2p = -49 Divide each side by '2'. p = -24.5 Simplifying p = -24.5Solution
p = {0, -24.5}
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