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Simplifying 4p2 + 16p + 20 = 4 Reorder the terms: 20 + 16p + 4p2 = 4 Solving 20 + 16p + 4p2 = 4 Solving for variable 'p'. Reorder the terms: 20 + -4 + 16p + 4p2 = 4 + -4 Combine like terms: 20 + -4 = 16 16 + 16p + 4p2 = 4 + -4 Combine like terms: 4 + -4 = 0 16 + 16p + 4p2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(4 + 4p + p2) = 0 Factor a trinomial. 4((2 + p)(2 + p)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(2 + p)' equal to zero and attempt to solve: Simplifying 2 + p = 0 Solving 2 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + p = 0 + -2 p = 0 + -2 Combine like terms: 0 + -2 = -2 p = -2 Simplifying p = -2Subproblem 2
Set the factor '(2 + p)' equal to zero and attempt to solve: Simplifying 2 + p = 0 Solving 2 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + p = 0 + -2 p = 0 + -2 Combine like terms: 0 + -2 = -2 p = -2 Simplifying p = -2Solution
p = {-2, -2}
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