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Simplifying 9p2 = 12p + -4 Reorder the terms: 9p2 = -4 + 12p Solving 9p2 = -4 + 12p Solving for variable 'p'. Reorder the terms: 4 + -12p + 9p2 = -4 + 12p + 4 + -12p Reorder the terms: 4 + -12p + 9p2 = -4 + 4 + 12p + -12p Combine like terms: -4 + 4 = 0 4 + -12p + 9p2 = 0 + 12p + -12p 4 + -12p + 9p2 = 12p + -12p Combine like terms: 12p + -12p = 0 4 + -12p + 9p2 = 0 Factor a trinomial. (2 + -3p)(2 + -3p) = 0Subproblem 1
Set the factor '(2 + -3p)' equal to zero and attempt to solve: Simplifying 2 + -3p = 0 Solving 2 + -3p = 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 + -3p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3p = 0 + -2 -3p = 0 + -2 Combine like terms: 0 + -2 = -2 -3p = -2 Divide each side by '-3'. p = 0.6666666667 Simplifying p = 0.6666666667Subproblem 2
Set the factor '(2 + -3p)' equal to zero and attempt to solve: Simplifying 2 + -3p = 0 Solving 2 + -3p = 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 + -3p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3p = 0 + -2 -3p = 0 + -2 Combine like terms: 0 + -2 = -2 -3p = -2 Divide each side by '-3'. p = 0.6666666667 Simplifying p = 0.6666666667Solution
p = {0.6666666667, 0.6666666667}
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