(v+10)(v-8)=

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Solution for (v+10)(v-8)= equation: 


Simplifying
(v + 10)(v + -8) = 0

Reorder the terms:
(10 + v)(v + -8) = 0

Reorder the terms:
(10 + v)(-8 + v) = 0

Multiply (10 + v) * (-8 + v)
(10(-8 + v) + v(-8 + v)) = 0
((-8 * 10 + v * 10) + v(-8 + v)) = 0
((-80 + 10v) + v(-8 + v)) = 0
(-80 + 10v + (-8 * v + v * v)) = 0
(-80 + 10v + (-8v + v2)) = 0

Combine like terms: 10v + -8v = 2v
(-80 + 2v + v2) = 0

Solving
-80 + 2v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-10 + -1v)(8 + -1v) = 0


Subproblem 1
Set the factor '(-10 + -1v)' equal to zero and attempt to solve:

Simplifying
-10 + -1v = 0

Solving
-10 + -1v = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1v = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1v = 0 + 10
-1v = 0 + 10

Combine like terms: 0 + 10 = 10
-1v = 10

Divide each side by '-1'.
v = -10

Simplifying
v = -10

Subproblem 2
Set the factor '(8 + -1v)' equal to zero and attempt to solve:

Simplifying
8 + -1v = 0

Solving
8 + -1v = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1v = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1v = 0 + -8
-1v = 0 + -8

Combine like terms: 0 + -8 = -8
-1v = -8

Divide each side by '-1'.
v = 8

Simplifying
v = 8
Solution
v = {-10, 8}

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