(v-16)(v+36)=0

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Solution for (v-16)(v+36)=0 equation: 


Simplifying
(v + -16)(v + 36) = 0

Reorder the terms:
(-16 + v)(v + 36) = 0

Reorder the terms:
(-16 + v)(36 + v) = 0

Multiply (-16 + v) * (36 + v)
(-16(36 + v) + v(36 + v)) = 0
((36 * -16 + v * -16) + v(36 + v)) = 0
((-576 + -16v) + v(36 + v)) = 0
(-576 + -16v + (36 * v + v * v)) = 0
(-576 + -16v + (36v + v2)) = 0

Combine like terms: -16v + 36v = 20v
(-576 + 20v + v2) = 0

Solving
-576 + 20v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-36 + -1v)(16 + -1v) = 0


Subproblem 1
Set the factor '(-36 + -1v)' equal to zero and attempt to solve:

Simplifying
-36 + -1v = 0

Solving
-36 + -1v = 0

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

Add '36' to each side of the equation.
-36 + 36 + -1v = 0 + 36

Combine like terms: -36 + 36 = 0
0 + -1v = 0 + 36
-1v = 0 + 36

Combine like terms: 0 + 36 = 36
-1v = 36

Divide each side by '-1'.
v = -36

Simplifying
v = -36

Subproblem 2
Set the factor '(16 + -1v)' equal to zero and attempt to solve:

Simplifying
16 + -1v = 0

Solving
16 + -1v = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1v = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1v = 0 + -16
-1v = 0 + -16

Combine like terms: 0 + -16 = -16
-1v = -16

Divide each side by '-1'.
v = 16

Simplifying
v = 16
Solution
v = {-36, 16}

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