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Simplifying 7p2 + -16p + 4 = 0 Reorder the terms: 4 + -16p + 7p2 = 0 Solving 4 + -16p + 7p2 = 0 Solving for variable 'p'. Factor a trinomial. (2 + -7p)(2 + -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 '(2 + -1p)' equal to zero and attempt to solve: Simplifying 2 + -1p = 0 Solving 2 + -1p = 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 + -1p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1p = 0 + -2 -1p = 0 + -2 Combine like terms: 0 + -2 = -2 -1p = -2 Divide each side by '-1'. p = 2 Simplifying p = 2Solution
p = {0.2857142857, 2}
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