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Simplifying 18p2 + 84p + 98 = 0 Reorder the terms: 98 + 84p + 18p2 = 0 Solving 98 + 84p + 18p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '2'. 2(49 + 42p + 9p2) = 0 Factor a trinomial. 2((7 + 3p)(7 + 3p)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(7 + 3p)' equal to zero and attempt to solve: Simplifying 7 + 3p = 0 Solving 7 + 3p = 0 Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3p = 0 + -7 3p = 0 + -7 Combine like terms: 0 + -7 = -7 3p = -7 Divide each side by '3'. p = -2.333333333 Simplifying p = -2.333333333Subproblem 2
Set the factor '(7 + 3p)' equal to zero and attempt to solve: Simplifying 7 + 3p = 0 Solving 7 + 3p = 0 Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3p = 0 + -7 3p = 0 + -7 Combine like terms: 0 + -7 = -7 3p = -7 Divide each side by '3'. p = -2.333333333 Simplifying p = -2.333333333Solution
p = {-2.333333333, -2.333333333}
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