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Simplifying 36p2 + 114p + -20 = 0 Reorder the terms: -20 + 114p + 36p2 = 0 Solving -20 + 114p + 36p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '2'. 2(-10 + 57p + 18p2) = 0 Factor a trinomial. 2((-10 + -3p)(1 + -6p)) = 0 Ignore the factor 2.Subproblem 1
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 = -3.333333333Subproblem 2
Set the factor '(1 + -6p)' equal to zero and attempt to solve: Simplifying 1 + -6p = 0 Solving 1 + -6p = 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 + -6p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6p = 0 + -1 -6p = 0 + -1 Combine like terms: 0 + -1 = -1 -6p = -1 Divide each side by '-6'. p = 0.1666666667 Simplifying p = 0.1666666667Solution
p = {-3.333333333, 0.1666666667}
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