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

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


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

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

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

Multiply (-5 + 8p) * (-7 + -7p)
(-5(-7 + -7p) + 8p * (-7 + -7p)) = 0
((-7 * -5 + -7p * -5) + 8p * (-7 + -7p)) = 0
((35 + 35p) + 8p * (-7 + -7p)) = 0
(35 + 35p + (-7 * 8p + -7p * 8p)) = 0
(35 + 35p + (-56p + -56p2)) = 0

Combine like terms: 35p + -56p = -21p
(35 + -21p + -56p2) = 0

Solving
35 + -21p + -56p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '7'.
7(5 + -3p + -8p2) = 0

Factor a trinomial.
7((5 + -8p)(1 + p)) = 0

Ignore the factor 7.

Subproblem 1
Set the factor '(5 + -8p)' equal to zero and attempt to solve:

Simplifying
5 + -8p = 0

Solving
5 + -8p = 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 + -8p = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -8p = 0 + -5
-8p = 0 + -5

Combine like terms: 0 + -5 = -5
-8p = -5

Divide each side by '-8'.
p = 0.625

Simplifying
p = 0.625

Subproblem 2
Set the factor '(1 + p)' equal to zero and attempt to solve:

Simplifying
1 + p = 0

Solving
1 + p = 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 + p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + p = 0 + -1
p = 0 + -1

Combine like terms: 0 + -1 = -1
p = -1

Simplifying
p = -1
Solution
p = {0.625, -1}

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