7u^2+u-30=0

Solution for 7u^2+u-30=0 equation:

Simplifying
7u2 + u + -30 = 0

Reorder the terms:
-30 + u + 7u2 = 0

Solving
-30 + u + 7u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-15 + -7u)(2 + -1u) = 0

Subproblem 1
Set the factor '(-15 + -7u)' equal to zero and attempt to solve:

Simplifying
-15 + -7u = 0

Solving
-15 + -7u = 0

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

Add '15' to each side of the equation.
-15 + 15 + -7u = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -7u = 0 + 15
-7u = 0 + 15

Combine like terms: 0 + 15 = 15
-7u = 15

Divide each side by '-7'.
u = -2.142857143

Simplifying
u = -2.142857143
Subproblem 2
Set the factor '(2 + -1u)' equal to zero and attempt to solve:

Simplifying
2 + -1u = 0

Solving
2 + -1u = 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 + -1u = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1u = 0 + -2
-1u = 0 + -2

Combine like terms: 0 + -2 = -2
-1u = -2

Divide each side by '-1'.
u = 2

Simplifying
u = 2
Solution
u = {-2.142857143, 2}