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Simplifying 6p2 + -21 = -15p Reorder the terms: -21 + 6p2 = -15p Solving -21 + 6p2 = -15p Solving for variable 'p'. Reorder the terms: -21 + 15p + 6p2 = -15p + 15p Combine like terms: -15p + 15p = 0 -21 + 15p + 6p2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-7 + 5p + 2p2) = 0 Factor a trinomial. 3((-7 + -2p)(1 + -1p)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-7 + -2p)' equal to zero and attempt to solve: Simplifying -7 + -2p = 0 Solving -7 + -2p = 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 + -2p = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2p = 0 + 7 -2p = 0 + 7 Combine like terms: 0 + 7 = 7 -2p = 7 Divide each side by '-2'. p = -3.5 Simplifying p = -3.5Subproblem 2
Set the factor '(1 + -1p)' equal to zero and attempt to solve: Simplifying 1 + -1p = 0 Solving 1 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1p = 0 + -1 -1p = 0 + -1 Combine like terms: 0 + -1 = -1 -1p = -1 Divide each side by '-1'. p = 1 Simplifying p = 1Solution
p = {-3.5, 1}
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