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Simplifying 6p2 + -13p + -28 = 0 Reorder the terms: -28 + -13p + 6p2 = 0 Solving -28 + -13p + 6p2 = 0 Solving for variable 'p'. Factor a trinomial. (-4 + -3p)(7 + -2p) = 0Subproblem 1
Set the factor '(-4 + -3p)' equal to zero and attempt to solve: Simplifying -4 + -3p = 0 Solving -4 + -3p = 0 Move all terms containing p to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3p = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3p = 0 + 4 -3p = 0 + 4 Combine like terms: 0 + 4 = 4 -3p = 4 Divide each side by '-3'. p = -1.333333333 Simplifying p = -1.333333333Subproblem 2
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 = 3.5Solution
p = {-1.333333333, 3.5}
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