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Simplifying -7p2 + -29p + -4 = 0 Reorder the terms: -4 + -29p + -7p2 = 0 Solving -4 + -29p + -7p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '-1'. -1(4 + 29p + 7p2) = 0 Factor a trinomial. -1((4 + p)(1 + 7p)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(4 + p)' equal to zero and attempt to solve: Simplifying 4 + p = 0 Solving 4 + p = 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 + p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + p = 0 + -4 p = 0 + -4 Combine like terms: 0 + -4 = -4 p = -4 Simplifying p = -4Subproblem 2
Set the factor '(1 + 7p)' equal to zero and attempt to solve: Simplifying 1 + 7p = 0 Solving 1 + 7p = 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 + 7p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7p = 0 + -1 7p = 0 + -1 Combine like terms: 0 + -1 = -1 7p = -1 Divide each side by '7'. p = -0.1428571429 Simplifying p = -0.1428571429Solution
p = {-4, -0.1428571429}
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