30=(3x-1)x

Solution for 30=(3x-1)x equation:

Simplifying
30 = (3x + -1) * x

Reorder the terms:
30 = (-1 + 3x) * x

Reorder the terms for easier multiplication:
30 = x(-1 + 3x)
30 = (-1 * x + 3x * x)
30 = (-1x + 3x2)

Solving
30 = -1x + 3x2

Solving for variable 'x'.

Reorder the terms:
30 + x + -3x2 = -1x + x + 3x2 + -3x2

Combine like terms: -1x + x = 0
30 + x + -3x2 = 0 + 3x2 + -3x2
30 + x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
30 + x + -3x2 = 0

Factor a trinomial.
(10 + -3x)(3 + x) = 0

Subproblem 1
Set the factor '(10 + -3x)' equal to zero and attempt to solve:

Simplifying
10 + -3x = 0

Solving
10 + -3x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -3x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = 0 + -10
-3x = 0 + -10

Combine like terms: 0 + -10 = -10
-3x = -10

Divide each side by '-3'.
x = 3.333333333

Simplifying
x = 3.333333333
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {3.333333333, -3}