-4u^2+16u-15=

Solution for -4u^2+16u-15= equation:

Simplifying
-4u2 + 16u + -15 = 0

Reorder the terms:
-15 + 16u + -4u2 = 0

Solving
-15 + 16u + -4u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-5 + 2u)(3 + -2u) = 0

Subproblem 1
Set the factor '(-5 + 2u)' equal to zero and attempt to solve:

Simplifying
-5 + 2u = 0

Solving
-5 + 2u = 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 + 2u = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2u = 0 + 5
2u = 0 + 5

Combine like terms: 0 + 5 = 5
2u = 5

Divide each side by '2'.
u = 2.5

Simplifying
u = 2.5
Subproblem 2
Set the factor '(3 + -2u)' equal to zero and attempt to solve:

Simplifying
3 + -2u = 0

Solving
3 + -2u = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2u = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2u = 0 + -3
-2u = 0 + -3

Combine like terms: 0 + -3 = -3
-2u = -3

Divide each side by '-2'.
u = 1.5

Simplifying
u = 1.5
Solution
u = {2.5, 1.5}