40u^2-25u+24u-15=

Solution for 40u^2-25u+24u-15= equation:

Simplifying
40u2 + -25u + 24u + -15 = 0

Reorder the terms:
-15 + -25u + 24u + 40u2 = 0

Combine like terms: -25u + 24u = -1u
-15 + -1u + 40u2 = 0

Solving
-15 + -1u + 40u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-3 + -5u)(5 + -8u) = 0

Subproblem 1
Set the factor '(-3 + -5u)' equal to zero and attempt to solve:

Simplifying
-3 + -5u = 0

Solving
-3 + -5u = 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 + -5u = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -5u = 0 + 3
-5u = 0 + 3

Combine like terms: 0 + 3 = 3
-5u = 3

Divide each side by '-5'.
u = -0.6

Simplifying
u = -0.6
Subproblem 2
Set the factor '(5 + -8u)' equal to zero and attempt to solve:

Simplifying
5 + -8u = 0

Solving
5 + -8u = 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 + -8u = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -8u = 0 + -5
-8u = 0 + -5

Combine like terms: 0 + -5 = -5
-8u = -5

Divide each side by '-8'.
u = 0.625

Simplifying
u = 0.625
Solution
u = {-0.6, 0.625}