v^2-7v+14=4

Solution for v^2-7v+14=4 equation:

Simplifying
v2 + -7v + 14 = 4

Reorder the terms:
14 + -7v + v2 = 4

Solving
14 + -7v + v2 = 4

Solving for variable 'v'.

Reorder the terms:
14 + -4 + -7v + v2 = 4 + -4

Combine like terms: 14 + -4 = 10
10 + -7v + v2 = 4 + -4

Combine like terms: 4 + -4 = 0
10 + -7v + v2 = 0

Factor a trinomial.
(2 + -1v)(5 + -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 '(5 + -1v)' equal to zero and attempt to solve:

Simplifying
5 + -1v = 0

Solving
5 + -1v = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1v = 0 + -5

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

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

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

Simplifying
v = 5
Solution
v = {2, 5}