30x(x-3)=x

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

Simplifying
30x(x + -3) = x

Reorder the terms:
30x(-3 + x) = x
(-3 * 30x + x * 30x) = x
(-90x + 30x2) = x

Solving
-90x + 30x2 = x

Solving for variable 'x'.

Reorder the terms:
-90x + -1x + 30x2 = x + -1x

Combine like terms: -90x + -1x = -91x
-91x + 30x2 = x + -1x

Combine like terms: x + -1x = 0
-91x + 30x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-91 + 30x) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(-91 + 30x)' equal to zero and attempt to solve:

Simplifying
-91 + 30x = 0

Solving
-91 + 30x = 0

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

Add '91' to each side of the equation.
-91 + 91 + 30x = 0 + 91

Combine like terms: -91 + 91 = 0
0 + 30x = 0 + 91
30x = 0 + 91

Combine like terms: 0 + 91 = 91
30x = 91

Divide each side by '30'.
x = 3.033333333

Simplifying
x = 3.033333333
Solution
x = {0, 3.033333333}