4u^2=-17u-4

Solution for 4u^2=-17u-4 equation:

Simplifying
4u2 = -17u + -4

Reorder the terms:
4u2 = -4 + -17u

Solving
4u2 = -4 + -17u

Solving for variable 'u'.

Reorder the terms:
4 + 17u + 4u2 = -4 + -17u + 4 + 17u

Reorder the terms:
4 + 17u + 4u2 = -4 + 4 + -17u + 17u

Combine like terms: -4 + 4 = 0
4 + 17u + 4u2 = 0 + -17u + 17u
4 + 17u + 4u2 = -17u + 17u

Combine like terms: -17u + 17u = 0
4 + 17u + 4u2 = 0

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

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

Simplifying
4 + u = 0

Solving
4 + u = 0

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

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

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

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

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

Simplifying
1 + 4u = 0

Solving
1 + 4u = 0

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

Add '-1' to each side of the equation.
1 + -1 + 4u = 0 + -1

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

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

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

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