(P-7)(P+12)=0

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Solution for (P-7)(P+12)=0 equation: 


Simplifying
(P + -7)(P + 12) = 0

Reorder the terms:
(-7 + P)(P + 12) = 0

Reorder the terms:
(-7 + P)(12 + P) = 0

Multiply (-7 + P) * (12 + P)
(-7(12 + P) + P(12 + P)) = 0
((12 * -7 + P * -7) + P(12 + P)) = 0
((-84 + -7P) + P(12 + P)) = 0
(-84 + -7P + (12 * P + P * P)) = 0
(-84 + -7P + (12P + P2)) = 0

Combine like terms: -7P + 12P = 5P
(-84 + 5P + P2) = 0

Solving
-84 + 5P + P2 = 0

Solving for variable 'P'.

Factor a trinomial.
(-12 + -1P)(7 + -1P) = 0


Subproblem 1
Set the factor '(-12 + -1P)' equal to zero and attempt to solve:

Simplifying
-12 + -1P = 0

Solving
-12 + -1P = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1P = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1P = 0 + 12
-1P = 0 + 12

Combine like terms: 0 + 12 = 12
-1P = 12

Divide each side by '-1'.
P = -12

Simplifying
P = -12

Subproblem 2
Set the factor '(7 + -1P)' equal to zero and attempt to solve:

Simplifying
7 + -1P = 0

Solving
7 + -1P = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1P = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1P = 0 + -7
-1P = 0 + -7

Combine like terms: 0 + -7 = -7
-1P = -7

Divide each side by '-1'.
P = 7

Simplifying
P = 7
Solution
P = {-12, 7}

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