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Simplifying 7p2 + 84 = -49p Reorder the terms: 84 + 7p2 = -49p Solving 84 + 7p2 = -49p Solving for variable 'p'. Reorder the terms: 84 + 49p + 7p2 = -49p + 49p Combine like terms: -49p + 49p = 0 84 + 49p + 7p2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(12 + 7p + p2) = 0 Factor a trinomial. 7((4 + p)(3 + p)) = 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 '(3 + p)' equal to zero and attempt to solve: Simplifying 3 + p = 0 Solving 3 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + p = 0 + -3 p = 0 + -3 Combine like terms: 0 + -3 = -3 p = -3 Simplifying p = -3Solution
p = {-4, -3}
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