4u^2+u-60=0

Solution for 4u^2+u-60=0 equation:

Simplifying
4u2 + u + -60 = 0

Reorder the terms:
-60 + u + 4u2 = 0

Solving
-60 + u + 4u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-4 + -1u)(15 + -4u) = 0

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

Simplifying
-4 + -1u = 0

Solving
-4 + -1u = 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 + -1u = 0 + 4

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

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

Divide each side by '-1'.
u = -4

Simplifying
u = -4
Subproblem 2
Set the factor '(15 + -4u)' equal to zero and attempt to solve:

Simplifying
15 + -4u = 0

Solving
15 + -4u = 0

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

Add '-15' to each side of the equation.
15 + -15 + -4u = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -4u = 0 + -15
-4u = 0 + -15

Combine like terms: 0 + -15 = -15
-4u = -15

Divide each side by '-4'.
u = 3.75

Simplifying
u = 3.75
Solution
u = {-4, 3.75}