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Simplifying 6p2 + -2p + -4 = 0 Reorder the terms: -4 + -2p + 6p2 = 0 Solving -4 + -2p + 6p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + -1p + 3p2) = 0 Factor a trinomial. 2((-2 + -3p)(1 + -1p)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + -3p)' equal to zero and attempt to solve: Simplifying -2 + -3p = 0 Solving -2 + -3p = 0 Move all terms containing p to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -3p = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3p = 0 + 2 -3p = 0 + 2 Combine like terms: 0 + 2 = 2 -3p = 2 Divide each side by '-3'. p = -0.6666666667 Simplifying p = -0.6666666667Subproblem 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 = {-0.6666666667, 1}
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