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Simplifying 5p + -525 + 20p2 = 0 Reorder the terms: -525 + 5p + 20p2 = 0 Solving -525 + 5p + 20p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '5'. 5(-105 + p + 4p2) = 0 Factor a trinomial. 5((-21 + -4p)(5 + -1p)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-21 + -4p)' equal to zero and attempt to solve: Simplifying -21 + -4p = 0 Solving -21 + -4p = 0 Move all terms containing p to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -4p = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -4p = 0 + 21 -4p = 0 + 21 Combine like terms: 0 + 21 = 21 -4p = 21 Divide each side by '-4'. p = -5.25 Simplifying p = -5.25Subproblem 2
Set the factor '(5 + -1p)' equal to zero and attempt to solve: Simplifying 5 + -1p = 0 Solving 5 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1p = 0 + -5 -1p = 0 + -5 Combine like terms: 0 + -5 = -5 -1p = -5 Divide each side by '-1'. p = 5 Simplifying p = 5Solution
p = {-5.25, 5}
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