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Simplifying 49p2 + -371p + -163 = 5 Reorder the terms: -163 + -371p + 49p2 = 5 Solving -163 + -371p + 49p2 = 5 Solving for variable 'p'. Reorder the terms: -163 + -5 + -371p + 49p2 = 5 + -5 Combine like terms: -163 + -5 = -168 -168 + -371p + 49p2 = 5 + -5 Combine like terms: 5 + -5 = 0 -168 + -371p + 49p2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(-24 + -53p + 7p2) = 0 Factor a trinomial. 7((-3 + -7p)(8 + -1p)) = 0 Ignore the factor 7.Subproblem 1
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 = -0.4285714286Subproblem 2
Set the factor '(8 + -1p)' equal to zero and attempt to solve: Simplifying 8 + -1p = 0 Solving 8 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1p = 0 + -8 -1p = 0 + -8 Combine like terms: 0 + -8 = -8 -1p = -8 Divide each side by '-1'. p = 8 Simplifying p = 8Solution
p = {-0.4285714286, 8}
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