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Simplifying 3p2 + -26p + 28 = -7 Reorder the terms: 28 + -26p + 3p2 = -7 Solving 28 + -26p + 3p2 = -7 Solving for variable 'p'. Reorder the terms: 28 + 7 + -26p + 3p2 = -7 + 7 Combine like terms: 28 + 7 = 35 35 + -26p + 3p2 = -7 + 7 Combine like terms: -7 + 7 = 0 35 + -26p + 3p2 = 0 Factor a trinomial. (5 + -3p)(7 + -1p) = 0Subproblem 1
Set the factor '(5 + -3p)' equal to zero and attempt to solve: Simplifying 5 + -3p = 0 Solving 5 + -3p = 0 Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3p = 0 + -5 -3p = 0 + -5 Combine like terms: 0 + -5 = -5 -3p = -5 Divide each side by '-3'. p = 1.666666667 Simplifying p = 1.666666667Subproblem 2
Set the factor '(7 + -1p)' equal to zero and attempt to solve: Simplifying 7 + -1p = 0 Solving 7 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1p = 0 + -7 -1p = 0 + -7 Combine like terms: 0 + -7 = -7 -1p = -7 Divide each side by '-1'. p = 7 Simplifying p = 7Solution
p = {1.666666667, 7}
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