0=16v^2-76v+90

Solution for 0=16v^2-76v+90 equation:

Simplifying
0 = 16v2 + -76v + 90

Reorder the terms:
0 = 90 + -76v + 16v2

Solving
0 = 90 + -76v + 16v2

Solving for variable 'v'.

Combine like terms: 0 + -90 = -90
-90 + 76v + -16v2 = 90 + -76v + 16v2 + -90 + 76v + -16v2

Reorder the terms:
-90 + 76v + -16v2 = 90 + -90 + -76v + 76v + 16v2 + -16v2

Combine like terms: 90 + -90 = 0
-90 + 76v + -16v2 = 0 + -76v + 76v + 16v2 + -16v2
-90 + 76v + -16v2 = -76v + 76v + 16v2 + -16v2

Combine like terms: -76v + 76v = 0
-90 + 76v + -16v2 = 0 + 16v2 + -16v2
-90 + 76v + -16v2 = 16v2 + -16v2

Combine like terms: 16v2 + -16v2 = 0
-90 + 76v + -16v2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-45 + 38v + -8v2) = 0

Factor a trinomial.
2((-5 + 2v)(9 + -4v)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-5 + 2v)' equal to zero and attempt to solve:

Simplifying
-5 + 2v = 0

Solving
-5 + 2v = 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 + 2v = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2v = 0 + 5
2v = 0 + 5

Combine like terms: 0 + 5 = 5
2v = 5

Divide each side by '2'.
v = 2.5

Simplifying
v = 2.5
Subproblem 2
Set the factor '(9 + -4v)' equal to zero and attempt to solve:

Simplifying
9 + -4v = 0

Solving
9 + -4v = 0

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

Add '-9' to each side of the equation.
9 + -9 + -4v = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4v = 0 + -9
-4v = 0 + -9

Combine like terms: 0 + -9 = -9
-4v = -9

Divide each side by '-4'.
v = 2.25

Simplifying
v = 2.25
Solution
v = {2.5, 2.25}