30x(x)-11x=30

Solution for 30x(x)-11x=30 equation:

Simplifying
30x(x) + -11x = 30

Multiply x * x
30x2 + -11x = 30

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

Solving
-11x + 30x2 = 30

Solving for variable 'x'.

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

Combine like terms: 30 + -30 = 0
-30 + -11x + 30x2 = 0

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

Subproblem 1
Set the factor '(-5 + -6x)' equal to zero and attempt to solve:

Simplifying
-5 + -6x = 0

Solving
-5 + -6x = 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 + -6x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -6x = 0 + 5
-6x = 0 + 5

Combine like terms: 0 + 5 = 5
-6x = 5

Divide each side by '-6'.
x = -0.8333333333

Simplifying
x = -0.8333333333
Subproblem 2
Set the factor '(6 + -5x)' equal to zero and attempt to solve:

Simplifying
6 + -5x = 0

Solving
6 + -5x = 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 + -5x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 0 + -6
-5x = 0 + -6

Combine like terms: 0 + -6 = -6
-5x = -6

Divide each side by '-5'.
x = 1.2

Simplifying
x = 1.2
Solution
x = {-0.8333333333, 1.2}