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Simplifying p(p + 11) = 12 Reorder the terms: p(11 + p) = 12 (11 * p + p * p) = 12 (11p + p2) = 12 Solving 11p + p2 = 12 Solving for variable 'p'. Reorder the terms: -12 + 11p + p2 = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + 11p + p2 = 0 Factor a trinomial. (-12 + -1p)(1 + -1p) = 0Subproblem 1
Set the factor '(-12 + -1p)' equal to zero and attempt to solve: Simplifying -12 + -1p = 0 Solving -12 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1p = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1p = 0 + 12 -1p = 0 + 12 Combine like terms: 0 + 12 = 12 -1p = 12 Divide each side by '-1'. p = -12 Simplifying p = -12Subproblem 2
Set the factor '(1 + -1p)' equal to zero and attempt to solve: Simplifying 1 + -1p = 0 Solving 1 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1p = 0 + -1 -1p = 0 + -1 Combine like terms: 0 + -1 = -1 -1p = -1 Divide each side by '-1'. p = 1 Simplifying p = 1Solution
p = {-12, 1}
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