(7p-5)(8p-3)=0

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Solution for (7p-5)(8p-3)=0 equation:


Simplifying
(7p + -5)(8p + -3) = 0

Reorder the terms:
(-5 + 7p)(8p + -3) = 0

Reorder the terms:
(-5 + 7p)(-3 + 8p) = 0

Multiply (-5 + 7p) * (-3 + 8p)
(-5(-3 + 8p) + 7p * (-3 + 8p)) = 0
((-3 * -5 + 8p * -5) + 7p * (-3 + 8p)) = 0
((15 + -40p) + 7p * (-3 + 8p)) = 0
(15 + -40p + (-3 * 7p + 8p * 7p)) = 0
(15 + -40p + (-21p + 56p2)) = 0

Combine like terms: -40p + -21p = -61p
(15 + -61p + 56p2) = 0

Solving
15 + -61p + 56p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(3 + -8p)(5 + -7p) = 0

Subproblem 1

Set the factor '(3 + -8p)' equal to zero and attempt to solve: Simplifying 3 + -8p = 0 Solving 3 + -8p = 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 + -8p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8p = 0 + -3 -8p = 0 + -3 Combine like terms: 0 + -3 = -3 -8p = -3 Divide each side by '-8'. p = 0.375 Simplifying p = 0.375

Subproblem 2

Set the factor '(5 + -7p)' equal to zero and attempt to solve: Simplifying 5 + -7p = 0 Solving 5 + -7p = 0 Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7p = 0 + -5 -7p = 0 + -5 Combine like terms: 0 + -5 = -5 -7p = -5 Divide each side by '-7'. p = 0.7142857143 Simplifying p = 0.7142857143

Solution

p = {0.375, 0.7142857143}

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