4v^2-25v=21

Solution for 4v^2-25v=21 equation:

Simplifying
4v2 + -25v = 21

Reorder the terms:
-25v + 4v2 = 21

Solving
-25v + 4v2 = 21

Solving for variable 'v'.

Reorder the terms:
-21 + -25v + 4v2 = 21 + -21

Combine like terms: 21 + -21 = 0
-21 + -25v + 4v2 = 0

Factor a trinomial.
(-3 + -4v)(7 + -1v) = 0

Subproblem 1
Set the factor '(-3 + -4v)' equal to zero and attempt to solve:

Simplifying
-3 + -4v = 0

Solving
-3 + -4v = 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 + -4v = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -4v = 0 + 3
-4v = 0 + 3

Combine like terms: 0 + 3 = 3
-4v = 3

Divide each side by '-4'.
v = -0.75

Simplifying
v = -0.75
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 = {-0.75, 7}