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Simplifying 3 + -1p2 = 6p + -4 Reorder the terms: 3 + -1p2 = -4 + 6p Solving 3 + -1p2 = -4 + 6p Solving for variable 'p'. Reorder the terms: 3 + 4 + -6p + -1p2 = -4 + 6p + 4 + -6p Combine like terms: 3 + 4 = 7 7 + -6p + -1p2 = -4 + 6p + 4 + -6p Reorder the terms: 7 + -6p + -1p2 = -4 + 4 + 6p + -6p Combine like terms: -4 + 4 = 0 7 + -6p + -1p2 = 0 + 6p + -6p 7 + -6p + -1p2 = 6p + -6p Combine like terms: 6p + -6p = 0 7 + -6p + -1p2 = 0 Factor a trinomial. (1 + -1p)(7 + p) = 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 '(7 + p)' equal to zero and attempt to solve: Simplifying 7 + p = 0 Solving 7 + p = 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 + p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + p = 0 + -7 p = 0 + -7 Combine like terms: 0 + -7 = -7 p = -7 Simplifying p = -7Solution
p = {1, -7}
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