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Simplifying 36p2 + -76p + 40 = 0 Reorder the terms: 40 + -76p + 36p2 = 0 Solving 40 + -76p + 36p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '4'. 4(10 + -19p + 9p2) = 0 Factor a trinomial. 4((1 + -1p)(10 + -9p)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(1 + -1p)' equal to zero and attempt to solve: Simplifying 1 + -1p = 0 Solving 1 + -1p = 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 + -1p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1p = 0 + -1 -1p = 0 + -1 Combine like terms: 0 + -1 = -1 -1p = -1 Divide each side by '-1'. p = 1 Simplifying p = 1Subproblem 2
Set the factor '(10 + -9p)' equal to zero and attempt to solve: Simplifying 10 + -9p = 0 Solving 10 + -9p = 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 + -9p = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -9p = 0 + -10 -9p = 0 + -10 Combine like terms: 0 + -10 = -10 -9p = -10 Divide each side by '-9'. p = 1.111111111 Simplifying p = 1.111111111Solution
p = {1, 1.111111111}
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