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Simplifying p(p + -3) = 154 Reorder the terms: p(-3 + p) = 154 (-3 * p + p * p) = 154 (-3p + p2) = 154 Solving -3p + p2 = 154 Solving for variable 'p'. Reorder the terms: -154 + -3p + p2 = 154 + -154 Combine like terms: 154 + -154 = 0 -154 + -3p + p2 = 0 Factor a trinomial. (-11 + -1p)(14 + -1p) = 0Subproblem 1
Set the factor '(-11 + -1p)' equal to zero and attempt to solve: Simplifying -11 + -1p = 0 Solving -11 + -1p = 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 + -1p = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1p = 0 + 11 -1p = 0 + 11 Combine like terms: 0 + 11 = 11 -1p = 11 Divide each side by '-1'. p = -11 Simplifying p = -11Subproblem 2
Set the factor '(14 + -1p)' equal to zero and attempt to solve: Simplifying 14 + -1p = 0 Solving 14 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1p = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1p = 0 + -14 -1p = 0 + -14 Combine like terms: 0 + -14 = -14 -1p = -14 Divide each side by '-1'. p = 14 Simplifying p = 14Solution
p = {-11, 14}
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