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Simplifying 35p2 + -1p + -6 = 0 Reorder the terms: -6 + -1p + 35p2 = 0 Solving -6 + -1p + 35p2 = 0 Solving for variable 'p'. Factor a trinomial. (-2 + -5p)(3 + -7p) = 0Subproblem 1
Set the factor '(-2 + -5p)' equal to zero and attempt to solve: Simplifying -2 + -5p = 0 Solving -2 + -5p = 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 + -5p = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5p = 0 + 2 -5p = 0 + 2 Combine like terms: 0 + 2 = 2 -5p = 2 Divide each side by '-5'. p = -0.4 Simplifying p = -0.4Subproblem 2
Set the factor '(3 + -7p)' equal to zero and attempt to solve: Simplifying 3 + -7p = 0 Solving 3 + -7p = 0 Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7p = 0 + -3 -7p = 0 + -3 Combine like terms: 0 + -3 = -3 -7p = -3 Divide each side by '-7'. p = 0.4285714286 Simplifying p = 0.4285714286Solution
p = {-0.4, 0.4285714286}
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