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Simplifying 7p2 + 3p = 4 Reorder the terms: 3p + 7p2 = 4 Solving 3p + 7p2 = 4 Solving for variable 'p'. Reorder the terms: -4 + 3p + 7p2 = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + 3p + 7p2 = 0 Factor a trinomial. (-1 + -1p)(4 + -7p) = 0Subproblem 1
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 = -1Subproblem 2
Set the factor '(4 + -7p)' equal to zero and attempt to solve: Simplifying 4 + -7p = 0 Solving 4 + -7p = 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 + -7p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7p = 0 + -4 -7p = 0 + -4 Combine like terms: 0 + -4 = -4 -7p = -4 Divide each side by '-7'. p = 0.5714285714 Simplifying p = 0.5714285714Solution
p = {-1, 0.5714285714}
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