14u^2+47u-7=0

Solution for 14u^2+47u-7=0 equation:

Simplifying
14u2 + 47u + -7 = 0

Reorder the terms:
-7 + 47u + 14u2 = 0

Solving
-7 + 47u + 14u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-7 + -2u)(1 + -7u) = 0

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

Simplifying
-7 + -2u = 0

Solving
-7 + -2u = 0

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

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

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

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

Divide each side by '-2'.
u = -3.5

Simplifying
u = -3.5
Subproblem 2
Set the factor '(1 + -7u)' equal to zero and attempt to solve:

Simplifying
1 + -7u = 0

Solving
1 + -7u = 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 + -7u = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7u = 0 + -1
-7u = 0 + -1

Combine like terms: 0 + -1 = -1
-7u = -1

Divide each side by '-7'.
u = 0.1428571429

Simplifying
u = 0.1428571429
Solution
u = {-3.5, 0.1428571429}