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Simplifying 5p2 = -12p + -4 Reorder the terms: 5p2 = -4 + -12p Solving 5p2 = -4 + -12p Solving for variable 'p'. Reorder the terms: 4 + 12p + 5p2 = -4 + -12p + 4 + 12p Reorder the terms: 4 + 12p + 5p2 = -4 + 4 + -12p + 12p Combine like terms: -4 + 4 = 0 4 + 12p + 5p2 = 0 + -12p + 12p 4 + 12p + 5p2 = -12p + 12p Combine like terms: -12p + 12p = 0 4 + 12p + 5p2 = 0 Factor a trinomial. (2 + p)(2 + 5p) = 0Subproblem 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 + 5p)' equal to zero and attempt to solve: Simplifying 2 + 5p = 0 Solving 2 + 5p = 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 + 5p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5p = 0 + -2 5p = 0 + -2 Combine like terms: 0 + -2 = -2 5p = -2 Divide each side by '5'. p = -0.4 Simplifying p = -0.4Solution
p = {-2, -0.4}
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