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Simplifying 4p2 = -36p + -80 Reorder the terms: 4p2 = -80 + -36p Solving 4p2 = -80 + -36p Solving for variable 'p'. Reorder the terms: 80 + 36p + 4p2 = -80 + -36p + 80 + 36p Reorder the terms: 80 + 36p + 4p2 = -80 + 80 + -36p + 36p Combine like terms: -80 + 80 = 0 80 + 36p + 4p2 = 0 + -36p + 36p 80 + 36p + 4p2 = -36p + 36p Combine like terms: -36p + 36p = 0 80 + 36p + 4p2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(20 + 9p + p2) = 0 Factor a trinomial. 4((5 + p)(4 + p)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(5 + p)' equal to zero and attempt to solve: Simplifying 5 + p = 0 Solving 5 + p = 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 + p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + p = 0 + -5 p = 0 + -5 Combine like terms: 0 + -5 = -5 p = -5 Simplifying p = -5Subproblem 2
Set the factor '(4 + p)' equal to zero and attempt to solve: Simplifying 4 + p = 0 Solving 4 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + p = 0 + -4 p = 0 + -4 Combine like terms: 0 + -4 = -4 p = -4 Simplifying p = -4Solution
p = {-5, -4}
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