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Simplifying 5p2 + 36p + 7 = 0 Reorder the terms: 7 + 36p + 5p2 = 0 Solving 7 + 36p + 5p2 = 0 Solving for variable 'p'. Factor a trinomial. (7 + p)(1 + 5p) = 0Subproblem 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 '(1 + 5p)' equal to zero and attempt to solve: Simplifying 1 + 5p = 0 Solving 1 + 5p = 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 + 5p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5p = 0 + -1 5p = 0 + -1 Combine like terms: 0 + -1 = -1 5p = -1 Divide each side by '5'. p = -0.2 Simplifying p = -0.2Solution
p = {-7, -0.2}
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