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Simplifying -5p(7p + 2) = 0 Reorder the terms: -5p(2 + 7p) = 0 (2 * -5p + 7p * -5p) = 0 (-10p + -35p2) = 0 Solving -10p + -35p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '-5p'. -5p(2 + 7p) = 0 Ignore the factor -5.Subproblem 1
Set the factor 'p' equal to zero and attempt to solve: Simplifying p = 0 Solving p = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p = 0Subproblem 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, -0.2857142857}
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