7v^2-15v+7=5

Solution for 7v^2-15v+7=5 equation:

Simplifying
7v2 + -15v + 7 = 5

Reorder the terms:
7 + -15v + 7v2 = 5

Solving
7 + -15v + 7v2 = 5

Solving for variable 'v'.

Reorder the terms:
7 + -5 + -15v + 7v2 = 5 + -5

Combine like terms: 7 + -5 = 2
2 + -15v + 7v2 = 5 + -5

Combine like terms: 5 + -5 = 0
2 + -15v + 7v2 = 0

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

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

Simplifying
1 + -7v = 0

Solving
1 + -7v = 0

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

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

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

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

Divide each side by '-7'.
v = 0.1428571429

Simplifying
v = 0.1428571429
Subproblem 2
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
Solution
v = {0.1428571429, 2}