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Simplifying (4p + -3)(7p + -3) = 0 Reorder the terms: (-3 + 4p)(7p + -3) = 0 Reorder the terms: (-3 + 4p)(-3 + 7p) = 0 Multiply (-3 + 4p) * (-3 + 7p) (-3(-3 + 7p) + 4p * (-3 + 7p)) = 0 ((-3 * -3 + 7p * -3) + 4p * (-3 + 7p)) = 0 ((9 + -21p) + 4p * (-3 + 7p)) = 0 (9 + -21p + (-3 * 4p + 7p * 4p)) = 0 (9 + -21p + (-12p + 28p2)) = 0 Combine like terms: -21p + -12p = -33p (9 + -33p + 28p2) = 0 Solving 9 + -33p + 28p2 = 0 Solving for variable 'p'. Factor a trinomial. (3 + -7p)(3 + -4p) = 0Subproblem 1
Set the factor '(3 + -7p)' equal to zero and attempt to solve: Simplifying 3 + -7p = 0 Solving 3 + -7p = 0 Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7p = 0 + -3 -7p = 0 + -3 Combine like terms: 0 + -3 = -3 -7p = -3 Divide each side by '-7'. p = 0.4285714286 Simplifying p = 0.4285714286Subproblem 2
Set the factor '(3 + -4p)' equal to zero and attempt to solve: Simplifying 3 + -4p = 0 Solving 3 + -4p = 0 Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4p = 0 + -3 -4p = 0 + -3 Combine like terms: 0 + -3 = -3 -4p = -3 Divide each side by '-4'. p = 0.75 Simplifying p = 0.75Solution
p = {0.4285714286, 0.75}
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