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Simplifying (7p + 2)(7p + 2) = 0 Reorder the terms: (2 + 7p)(7p + 2) = 0 Reorder the terms: (2 + 7p)(2 + 7p) = 0 Multiply (2 + 7p) * (2 + 7p) (2(2 + 7p) + 7p * (2 + 7p)) = 0 ((2 * 2 + 7p * 2) + 7p * (2 + 7p)) = 0 ((4 + 14p) + 7p * (2 + 7p)) = 0 (4 + 14p + (2 * 7p + 7p * 7p)) = 0 (4 + 14p + (14p + 49p2)) = 0 Combine like terms: 14p + 14p = 28p (4 + 28p + 49p2) = 0 Solving 4 + 28p + 49p2 = 0 Solving for variable 'p'. Factor a trinomial. (2 + 7p)(2 + 7p) = 0Subproblem 1
Set the factor '(2 + 7p)' equal to zero and attempt to solve: Simplifying 2 + 7p = 0 Solving 2 + 7p = 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 + 7p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7p = 0 + -2 7p = 0 + -2 Combine like terms: 0 + -2 = -2 7p = -2 Divide each side by '7'. p = -0.2857142857 Simplifying p = -0.2857142857Subproblem 2
Set the factor '(2 + 7p)' equal to zero and attempt to solve: Simplifying 2 + 7p = 0 Solving 2 + 7p = 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 + 7p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7p = 0 + -2 7p = 0 + -2 Combine like terms: 0 + -2 = -2 7p = -2 Divide each side by '7'. p = -0.2857142857 Simplifying p = -0.2857142857Solution
p = {-0.2857142857, -0.2857142857}
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