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Simplifying 35p2 + 13p + -4 = 0 Reorder the terms: -4 + 13p + 35p2 = 0 Solving -4 + 13p + 35p2 = 0 Solving for variable 'p'. Factor a trinomial. (-4 + -7p)(1 + -5p) = 0Subproblem 1
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 = -0.5714285714Subproblem 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 = {-0.5714285714, 0.2}
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