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Simplifying 4p2 + 3p = 7 Reorder the terms: 3p + 4p2 = 7 Solving 3p + 4p2 = 7 Solving for variable 'p'. Reorder the terms: -7 + 3p + 4p2 = 7 + -7 Combine like terms: 7 + -7 = 0 -7 + 3p + 4p2 = 0 Factor a trinomial. (-7 + -4p)(1 + -1p) = 0Subproblem 1
Set the factor '(-7 + -4p)' equal to zero and attempt to solve: Simplifying -7 + -4p = 0 Solving -7 + -4p = 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 + -4p = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -4p = 0 + 7 -4p = 0 + 7 Combine like terms: 0 + 7 = 7 -4p = 7 Divide each side by '-4'. p = -1.75 Simplifying p = -1.75Subproblem 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 = {-1.75, 1}
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