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Simplifying (4p + -7)(4p + -7) = 0 Reorder the terms: (-7 + 4p)(4p + -7) = 0 Reorder the terms: (-7 + 4p)(-7 + 4p) = 0 Multiply (-7 + 4p) * (-7 + 4p) (-7(-7 + 4p) + 4p * (-7 + 4p)) = 0 ((-7 * -7 + 4p * -7) + 4p * (-7 + 4p)) = 0 ((49 + -28p) + 4p * (-7 + 4p)) = 0 (49 + -28p + (-7 * 4p + 4p * 4p)) = 0 (49 + -28p + (-28p + 16p2)) = 0 Combine like terms: -28p + -28p = -56p (49 + -56p + 16p2) = 0 Solving 49 + -56p + 16p2 = 0 Solving for variable 'p'. Factor a trinomial. (7 + -4p)(7 + -4p) = 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 '(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 = 1.75Solution
p = {1.75, 1.75}
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