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Simplifying 21p2 = -133p + -196 Reorder the terms: 21p2 = -196 + -133p Solving 21p2 = -196 + -133p Solving for variable 'p'. Reorder the terms: 196 + 133p + 21p2 = -196 + -133p + 196 + 133p Reorder the terms: 196 + 133p + 21p2 = -196 + 196 + -133p + 133p Combine like terms: -196 + 196 = 0 196 + 133p + 21p2 = 0 + -133p + 133p 196 + 133p + 21p2 = -133p + 133p Combine like terms: -133p + 133p = 0 196 + 133p + 21p2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(28 + 19p + 3p2) = 0 Factor a trinomial. 7((4 + p)(7 + 3p)) = 0 Ignore the factor 7.Subproblem 1
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 = -4Subproblem 2
Set the factor '(7 + 3p)' equal to zero and attempt to solve: Simplifying 7 + 3p = 0 Solving 7 + 3p = 0 Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3p = 0 + -7 3p = 0 + -7 Combine like terms: 0 + -7 = -7 3p = -7 Divide each side by '3'. p = -2.333333333 Simplifying p = -2.333333333Solution
p = {-4, -2.333333333}
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