11x^2+61x-30=0

Solution for 11x^2+61x-30=0 equation:

Simplifying
11x2 + 61x + -30 = 0

Reorder the terms:
-30 + 61x + 11x2 = 0

Solving
-30 + 61x + 11x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-6 + -1x)(5 + -11x) = 0

Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve:

Simplifying
-6 + -1x = 0

Solving
-6 + -1x = 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 + -1x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 0 + 6
-1x = 0 + 6

Combine like terms: 0 + 6 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6
Subproblem 2
Set the factor '(5 + -11x)' equal to zero and attempt to solve:

Simplifying
5 + -11x = 0

Solving
5 + -11x = 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 + -11x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -11x = 0 + -5
-11x = 0 + -5

Combine like terms: 0 + -5 = -5
-11x = -5

Divide each side by '-11'.
x = 0.4545454545

Simplifying
x = 0.4545454545
Solution
x = {-6, 0.4545454545}