(7P+8)(P-5)=0

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Solution for (7P+8)(P-5)=0 equation: 


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

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

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

Multiply (8 + 7P) * (-5 + P)
(8(-5 + P) + 7P * (-5 + P)) = 0
((-5 * 8 + P * 8) + 7P * (-5 + P)) = 0
((-40 + 8P) + 7P * (-5 + P)) = 0
(-40 + 8P + (-5 * 7P + P * 7P)) = 0
(-40 + 8P + (-35P + 7P2)) = 0

Combine like terms: 8P + -35P = -27P
(-40 + -27P + 7P2) = 0

Solving
-40 + -27P + 7P2 = 0

Solving for variable 'P'.

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


Subproblem 1
Set the factor '(-8 + -7P)' equal to zero and attempt to solve:

Simplifying
-8 + -7P = 0

Solving
-8 + -7P = 0

Move all terms containing P to the left, all other terms to the right.

Add '8' to each side of the equation.
-8 + 8 + -7P = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -7P = 0 + 8
-7P = 0 + 8

Combine like terms: 0 + 8 = 8
-7P = 8

Divide each side by '-7'.
P = -1.142857143

Simplifying
P = -1.142857143

Subproblem 2
Set the factor '(5 + -1P)' equal to zero and attempt to solve:

Simplifying
5 + -1P = 0

Solving
5 + -1P = 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 + -1P = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1P = 0 + -5
-1P = 0 + -5

Combine like terms: 0 + -5 = -5
-1P = -5

Divide each side by '-1'.
P = 5

Simplifying
P = 5
Solution
P = {-1.142857143, 5}

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