7x^2+41x=-30

Solution for 7x^2+41x=-30 equation:

Simplifying
7x2 + 41x = -30

Reorder the terms:
41x + 7x2 = -30

Solving
41x + 7x2 = -30

Solving for variable 'x'.

Reorder the terms:
30 + 41x + 7x2 = -30 + 30

Combine like terms: -30 + 30 = 0
30 + 41x + 7x2 = 0

Factor a trinomial.
(5 + x)(6 + 7x) = 0

Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5
Subproblem 2
Set the factor '(6 + 7x)' equal to zero and attempt to solve:

Simplifying
6 + 7x = 0

Solving
6 + 7x = 0

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

Add '-6' to each side of the equation.
6 + -6 + 7x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = 0 + -6
7x = 0 + -6

Combine like terms: 0 + -6 = -6
7x = -6

Divide each side by '7'.
x = -0.8571428571

Simplifying
x = -0.8571428571
Solution
x = {-5, -0.8571428571}