-21u-5=4u^2

Solution for -21u-5=4u^2 equation:

Simplifying
-21u + -5 = 4u2

Reorder the terms:
-5 + -21u = 4u2

Solving
-5 + -21u = 4u2

Solving for variable 'u'.

Combine like terms: 4u2 + -4u2 = 0
-5 + -21u + -4u2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(5 + 21u + 4u2) = 0

Factor a trinomial.
-1((5 + u)(1 + 4u)) = 0

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

Simplifying
5 + u = 0

Solving
5 + u = 0

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

Add '-5' to each side of the equation.
5 + -5 + u = 0 + -5

Combine like terms: 5 + -5 = 0
0 + u = 0 + -5
u = 0 + -5

Combine like terms: 0 + -5 = -5
u = -5

Simplifying
u = -5
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 = {-5, -0.25}