(v+2)(v-7)=

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Solution for (v+2)(v-7)= equation: 


Simplifying
(v + 2)(v + -7) = 0

Reorder the terms:
(2 + v)(v + -7) = 0

Reorder the terms:
(2 + v)(-7 + v) = 0

Multiply (2 + v) * (-7 + v)
(2(-7 + v) + v(-7 + v)) = 0
((-7 * 2 + v * 2) + v(-7 + v)) = 0
((-14 + 2v) + v(-7 + v)) = 0
(-14 + 2v + (-7 * v + v * v)) = 0
(-14 + 2v + (-7v + v2)) = 0

Combine like terms: 2v + -7v = -5v
(-14 + -5v + v2) = 0

Solving
-14 + -5v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-2 + -1v)(7 + -1v) = 0


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

Simplifying
-2 + -1v = 0

Solving
-2 + -1v = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1v = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1v = 0 + 2
-1v = 0 + 2

Combine like terms: 0 + 2 = 2
-1v = 2

Divide each side by '-1'.
v = -2

Simplifying
v = -2

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

Simplifying
7 + -1v = 0

Solving
7 + -1v = 0

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

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

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

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

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

Simplifying
v = 7
Solution
v = {-2, 7}

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