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Simplifying 7p2 + 18p + 10 = 2 Reorder the terms: 10 + 18p + 7p2 = 2 Solving 10 + 18p + 7p2 = 2 Solving for variable 'p'. Reorder the terms: 10 + -2 + 18p + 7p2 = 2 + -2 Combine like terms: 10 + -2 = 8 8 + 18p + 7p2 = 2 + -2 Combine like terms: 2 + -2 = 0 8 + 18p + 7p2 = 0 Factor a trinomial. (2 + p)(4 + 7p) = 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 '(4 + 7p)' equal to zero and attempt to solve: Simplifying 4 + 7p = 0 Solving 4 + 7p = 0 Move all terms containing p to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7p = 0 + -4 7p = 0 + -4 Combine like terms: 0 + -4 = -4 7p = -4 Divide each side by '7'. p = -0.5714285714 Simplifying p = -0.5714285714Solution
p = {-2, -0.5714285714}
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