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Simplifying 5p2 = -70 + -45p Solving 5p2 = -70 + -45p Solving for variable 'p'. Reorder the terms: 70 + 45p + 5p2 = -70 + -45p + 70 + 45p Reorder the terms: 70 + 45p + 5p2 = -70 + 70 + -45p + 45p Combine like terms: -70 + 70 = 0 70 + 45p + 5p2 = 0 + -45p + 45p 70 + 45p + 5p2 = -45p + 45p Combine like terms: -45p + 45p = 0 70 + 45p + 5p2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(14 + 9p + p2) = 0 Factor a trinomial. 5((7 + p)(2 + p)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(7 + p)' equal to zero and attempt to solve: Simplifying 7 + p = 0 Solving 7 + p = 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 + p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + p = 0 + -7 p = 0 + -7 Combine like terms: 0 + -7 = -7 p = -7 Simplifying p = -7Subproblem 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 = {-7, -2}
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