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Simplifying (p + -4)(7p + 2) = 0 Reorder the terms: (-4 + p)(7p + 2) = 0 Reorder the terms: (-4 + p)(2 + 7p) = 0 Multiply (-4 + p) * (2 + 7p) (-4(2 + 7p) + p(2 + 7p)) = 0 ((2 * -4 + 7p * -4) + p(2 + 7p)) = 0 ((-8 + -28p) + p(2 + 7p)) = 0 (-8 + -28p + (2 * p + 7p * p)) = 0 (-8 + -28p + (2p + 7p2)) = 0 Combine like terms: -28p + 2p = -26p (-8 + -26p + 7p2) = 0 Solving -8 + -26p + 7p2 = 0 Solving for variable 'p'. Factor a trinomial. (-2 + -7p)(4 + -1p) = 0Subproblem 1
Set the factor '(-2 + -7p)' equal to zero and attempt to solve: Simplifying -2 + -7p = 0 Solving -2 + -7p = 0 Move all terms containing p to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -7p = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -7p = 0 + 2 -7p = 0 + 2 Combine like terms: 0 + 2 = 2 -7p = 2 Divide each side by '-7'. p = -0.2857142857 Simplifying p = -0.2857142857Subproblem 2
Set the factor '(4 + -1p)' equal to zero and attempt to solve: Simplifying 4 + -1p = 0 Solving 4 + -1p = 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 + -1p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1p = 0 + -4 -1p = 0 + -4 Combine like terms: 0 + -4 = -4 -1p = -4 Divide each side by '-1'. p = 4 Simplifying p = 4Solution
p = {-0.2857142857, 4}
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