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Simplifying 21p2 + -112p + -448 = 0 Reorder the terms: -448 + -112p + 21p2 = 0 Solving -448 + -112p + 21p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '7'. 7(-64 + -16p + 3p2) = 0 Factor a trinomial. 7((-8 + -3p)(8 + -1p)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-8 + -3p)' equal to zero and attempt to solve: Simplifying -8 + -3p = 0 Solving -8 + -3p = 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 + -3p = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3p = 0 + 8 -3p = 0 + 8 Combine like terms: 0 + 8 = 8 -3p = 8 Divide each side by '-3'. p = -2.666666667 Simplifying p = -2.666666667Subproblem 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 = {-2.666666667, 8}
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