-7u^2-12u+4=0

Solution for -7u^2-12u+4=0 equation:

Simplifying
-7u2 + -12u + 4 = 0

Reorder the terms:
4 + -12u + -7u2 = 0

Solving
4 + -12u + -7u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(2 + -7u)(2 + u) = 0

Subproblem 1
Set the factor '(2 + -7u)' equal to zero and attempt to solve:

Simplifying
2 + -7u = 0

Solving
2 + -7u = 0

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

Add '-2' to each side of the equation.
2 + -2 + -7u = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7u = 0 + -2
-7u = 0 + -2

Combine like terms: 0 + -2 = -2
-7u = -2

Divide each side by '-7'.
u = 0.2857142857

Simplifying
u = 0.2857142857
Subproblem 2
Set the factor '(2 + u)' equal to zero and attempt to solve:

Simplifying
2 + u = 0

Solving
2 + u = 0

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

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

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

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

Simplifying
u = -2
Solution
u = {0.2857142857, -2}