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Simplifying p2 = -1p + 110 Reorder the terms: p2 = 110 + -1p Solving p2 = 110 + -1p Solving for variable 'p'. Reorder the terms: -110 + p + p2 = 110 + -1p + -110 + p Reorder the terms: -110 + p + p2 = 110 + -110 + -1p + p Combine like terms: 110 + -110 = 0 -110 + p + p2 = 0 + -1p + p -110 + p + p2 = -1p + p Combine like terms: -1p + p = 0 -110 + p + p2 = 0 Factor a trinomial. (-11 + -1p)(10 + -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 '(10 + -1p)' equal to zero and attempt to solve: Simplifying 10 + -1p = 0 Solving 10 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1p = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1p = 0 + -10 -1p = 0 + -10 Combine like terms: 0 + -10 = -10 -1p = -10 Divide each side by '-1'. p = 10 Simplifying p = 10Solution
p = {-11, 10}
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