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Simplifying 21p2 = 16 + -50p Solving 21p2 = 16 + -50p Solving for variable 'p'. Reorder the terms: -16 + 50p + 21p2 = 16 + -50p + -16 + 50p Reorder the terms: -16 + 50p + 21p2 = 16 + -16 + -50p + 50p Combine like terms: 16 + -16 = 0 -16 + 50p + 21p2 = 0 + -50p + 50p -16 + 50p + 21p2 = -50p + 50p Combine like terms: -50p + 50p = 0 -16 + 50p + 21p2 = 0 Factor a trinomial. (-8 + -3p)(2 + -7p) = 0Subproblem 1
Set the factor '(-8 + -3p)' equal to zero and attempt to solve: Simplifying -8 + -3p = 0 Solving -8 + -3p = 0 Move all terms containing p to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -3p = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3p = 0 + 8 -3p = 0 + 8 Combine like terms: 0 + 8 = 8 -3p = 8 Divide each side by '-3'. p = -2.666666667 Simplifying p = -2.666666667Subproblem 2
Set the factor '(2 + -7p)' equal to zero and attempt to solve: Simplifying 2 + -7p = 0 Solving 2 + -7p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -7p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7p = 0 + -2 -7p = 0 + -2 Combine like terms: 0 + -2 = -2 -7p = -2 Divide each side by '-7'. p = 0.2857142857 Simplifying p = 0.2857142857Solution
p = {-2.666666667, 0.2857142857}
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