2(-2v^2+7v-3)=0

Solution for 2(-2v^2+7v-3)=0 equation:

Simplifying
2(-2v2 + 7v + -3) = 0

Reorder the terms:
2(-3 + 7v + -2v2) = 0
(-3 * 2 + 7v * 2 + -2v2 * 2) = 0
(-6 + 14v + -4v2) = 0

Solving
-6 + 14v + -4v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + 7v + -2v2) = 0

Factor a trinomial.
2((-3 + v)(1 + -2v)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-3 + v)' equal to zero and attempt to solve:

Simplifying
-3 + v = 0

Solving
-3 + v = 0

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

Add '3' to each side of the equation.
-3 + 3 + v = 0 + 3

Combine like terms: -3 + 3 = 0
0 + v = 0 + 3
v = 0 + 3

Combine like terms: 0 + 3 = 3
v = 3

Simplifying
v = 3
Subproblem 2
Set the factor '(1 + -2v)' equal to zero and attempt to solve:

Simplifying
1 + -2v = 0

Solving
1 + -2v = 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 + -2v = 0 + -1

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

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

Divide each side by '-2'.
v = 0.5

Simplifying
v = 0.5
Solution
v = {3, 0.5}