40u^2+33u=0

Solution for 40u^2+33u=0 equation:

Simplifying
40u2 + 33u = 0

Reorder the terms:
33u + 40u2 = 0

Solving
33u + 40u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), 'u'.
u(33 + 40u) = 0

Subproblem 1
Set the factor 'u' equal to zero and attempt to solve:

Simplifying
u = 0

Solving
u = 0

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

Simplifying
u = 0
Subproblem 2
Set the factor '(33 + 40u)' equal to zero and attempt to solve:

Simplifying
33 + 40u = 0

Solving
33 + 40u = 0

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

Add '-33' to each side of the equation.
33 + -33 + 40u = 0 + -33

Combine like terms: 33 + -33 = 0
0 + 40u = 0 + -33
40u = 0 + -33

Combine like terms: 0 + -33 = -33
40u = -33

Divide each side by '40'.
u = -0.825

Simplifying
u = -0.825
Solution
u = {0, -0.825}