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Simplifying 30(p2 + -1) = 91p Reorder the terms: 30(-1 + p2) = 91p (-1 * 30 + p2 * 30) = 91p (-30 + 30p2) = 91p Solving -30 + 30p2 = 91p Solving for variable 'p'. Reorder the terms: -30 + -91p + 30p2 = 91p + -91p Combine like terms: 91p + -91p = 0 -30 + -91p + 30p2 = 0 Factor a trinomial. (-3 + -10p)(10 + -3p) = 0Subproblem 1
Set the factor '(-3 + -10p)' equal to zero and attempt to solve: Simplifying -3 + -10p = 0 Solving -3 + -10p = 0 Move all terms containing p to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -10p = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -10p = 0 + 3 -10p = 0 + 3 Combine like terms: 0 + 3 = 3 -10p = 3 Divide each side by '-10'. p = -0.3 Simplifying p = -0.3Subproblem 2
Set the factor '(10 + -3p)' equal to zero and attempt to solve: Simplifying 10 + -3p = 0 Solving 10 + -3p = 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 + -3p = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3p = 0 + -10 -3p = 0 + -10 Combine like terms: 0 + -10 = -10 -3p = -10 Divide each side by '-3'. p = 3.333333333 Simplifying p = 3.333333333Solution
p = {-0.3, 3.333333333}
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