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Simplifying 4p2 = -10p + -4 Reorder the terms: 4p2 = -4 + -10p Solving 4p2 = -4 + -10p Solving for variable 'p'. Reorder the terms: 4 + 10p + 4p2 = -4 + -10p + 4 + 10p Reorder the terms: 4 + 10p + 4p2 = -4 + 4 + -10p + 10p Combine like terms: -4 + 4 = 0 4 + 10p + 4p2 = 0 + -10p + 10p 4 + 10p + 4p2 = -10p + 10p Combine like terms: -10p + 10p = 0 4 + 10p + 4p2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(2 + 5p + 2p2) = 0 Factor a trinomial. 2((2 + p)(1 + 2p)) = 0 Ignore the factor 2.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 '(1 + 2p)' equal to zero and attempt to solve: Simplifying 1 + 2p = 0 Solving 1 + 2p = 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 + 2p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2p = 0 + -1 2p = 0 + -1 Combine like terms: 0 + -1 = -1 2p = -1 Divide each side by '2'. p = -0.5 Simplifying p = -0.5Solution
p = {-2, -0.5}
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