7u^2-4u-3=0

Solution for 7u^2-4u-3=0 equation:

Simplifying
7u2 + -4u + -3 = 0

Reorder the terms:
-3 + -4u + 7u2 = 0

Solving
-3 + -4u + 7u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-3 + -7u)(1 + -1u) = 0

Subproblem 1
Set the factor '(-3 + -7u)' equal to zero and attempt to solve:

Simplifying
-3 + -7u = 0

Solving
-3 + -7u = 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 + -7u = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -7u = 0 + 3
-7u = 0 + 3

Combine like terms: 0 + 3 = 3
-7u = 3

Divide each side by '-7'.
u = -0.4285714286

Simplifying
u = -0.4285714286
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 = {-0.4285714286, 1}