(3x-1)x=30

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

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

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

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

Solving
-1x + 3x2 = 30

Solving for variable 'x'.

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

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

Factor a trinomial.
(-3 + -1x)(10 + -3x) = 0

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

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 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 + -1x = 0 + 3

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

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

Divide each side by '-1'.
x = -3

Simplifying
x = -3
Subproblem 2
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
Solution
x = {-3, 3.333333333}