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Simplifying -5p(3 + 7p) + -7p(3p + 1) = 0 (3 * -5p + 7p * -5p) + -7p(3p + 1) = 0 (-15p + -35p2) + -7p(3p + 1) = 0 Reorder the terms: -15p + -35p2 + -7p(1 + 3p) = 0 -15p + -35p2 + (1 * -7p + 3p * -7p) = 0 -15p + -35p2 + (-7p + -21p2) = 0 Reorder the terms: -15p + -7p + -35p2 + -21p2 = 0 Combine like terms: -15p + -7p = -22p -22p + -35p2 + -21p2 = 0 Combine like terms: -35p2 + -21p2 = -56p2 -22p + -56p2 = 0 Solving -22p + -56p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '-2p'. -2p(11 + 28p) = 0 Ignore the factor -2.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 '(11 + 28p)' equal to zero and attempt to solve: Simplifying 11 + 28p = 0 Solving 11 + 28p = 0 Move all terms containing p to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 28p = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 28p = 0 + -11 28p = 0 + -11 Combine like terms: 0 + -11 = -11 28p = -11 Divide each side by '28'. p = -0.3928571429 Simplifying p = -0.3928571429Solution
p = {0, -0.3928571429}
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