4u^2+60u-64=0

Solution for 4u^2+60u-64=0 equation:

Simplifying
4u2 + 60u + -64 = 0

Reorder the terms:
-64 + 60u + 4u2 = 0

Solving
-64 + 60u + 4u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-16 + 15u + u2) = 0

Factor a trinomial.
4((-16 + -1u)(1 + -1u)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-16 + -1u)' equal to zero and attempt to solve:

Simplifying
-16 + -1u = 0

Solving
-16 + -1u = 0

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

Add '16' to each side of the equation.
-16 + 16 + -1u = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -1u = 0 + 16
-1u = 0 + 16

Combine like terms: 0 + 16 = 16
-1u = 16

Divide each side by '-1'.
u = -16

Simplifying
u = -16
Subproblem 2
Set the factor '(1 + -1u)' equal to zero and attempt to solve:

Simplifying
1 + -1u = 0

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

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

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

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

Simplifying
u = 1
Solution
u = {-16, 1}