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Simplifying (3p + -4)(7p + 4) = 0 Reorder the terms: (-4 + 3p)(7p + 4) = 0 Reorder the terms: (-4 + 3p)(4 + 7p) = 0 Multiply (-4 + 3p) * (4 + 7p) (-4(4 + 7p) + 3p * (4 + 7p)) = 0 ((4 * -4 + 7p * -4) + 3p * (4 + 7p)) = 0 ((-16 + -28p) + 3p * (4 + 7p)) = 0 (-16 + -28p + (4 * 3p + 7p * 3p)) = 0 (-16 + -28p + (12p + 21p2)) = 0 Combine like terms: -28p + 12p = -16p (-16 + -16p + 21p2) = 0 Solving -16 + -16p + 21p2 = 0 Solving for variable 'p'. Factor a trinomial. (-4 + -7p)(4 + -3p) = 0Subproblem 1
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 = -0.5714285714Subproblem 2
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 = 1.333333333Solution
p = {-0.5714285714, 1.333333333}
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