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Simplifying 36p2 + -20 = -6p Reorder the terms: -20 + 36p2 = -6p Solving -20 + 36p2 = -6p Solving for variable 'p'. Reorder the terms: -20 + 6p + 36p2 = -6p + 6p Combine like terms: -6p + 6p = 0 -20 + 6p + 36p2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-10 + 3p + 18p2) = 0 Factor a trinomial. 2((-5 + -6p)(2 + -3p)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + -6p)' equal to zero and attempt to solve: Simplifying -5 + -6p = 0 Solving -5 + -6p = 0 Move all terms containing p to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -6p = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -6p = 0 + 5 -6p = 0 + 5 Combine like terms: 0 + 5 = 5 -6p = 5 Divide each side by '-6'. p = -0.8333333333 Simplifying p = -0.8333333333Subproblem 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 = {-0.8333333333, 0.6666666667}
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