2v(2v)=-17v-4

Solution for 2v(2v)=-17v-4 equation:

Simplifying
2v(2v) = -17v + -4

Remove parenthesis around (2v)
2v * 2v = -17v + -4

Reorder the terms for easier multiplication:
2 * 2v * v = -17v + -4

Multiply 2 * 2
4v * v = -17v + -4

Multiply v * v
4v2 = -17v + -4

Reorder the terms:
4v2 = -4 + -17v

Solving
4v2 = -4 + -17v

Solving for variable 'v'.

Reorder the terms:
4 + 17v + 4v2 = -4 + -17v + 4 + 17v

Reorder the terms:
4 + 17v + 4v2 = -4 + 4 + -17v + 17v

Combine like terms: -4 + 4 = 0
4 + 17v + 4v2 = 0 + -17v + 17v
4 + 17v + 4v2 = -17v + 17v

Combine like terms: -17v + 17v = 0
4 + 17v + 4v2 = 0

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

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

Simplifying
4 + v = 0

Solving
4 + v = 0

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

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

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

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

Simplifying
v = -4
Subproblem 2
Set the factor '(1 + 4v)' equal to zero and attempt to solve:

Simplifying
1 + 4v = 0

Solving
1 + 4v = 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 + 4v = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4v = 0 + -1
4v = 0 + -1

Combine like terms: 0 + -1 = -1
4v = -1

Divide each side by '4'.
v = -0.25

Simplifying
v = -0.25
Solution
v = {-4, -0.25}