30x(x-42)=0

Solution for 30x(x-42)=0 equation:

Simplifying
30x(x + -42) = 0

Reorder the terms:
30x(-42 + x) = 0
(-42 * 30x + x * 30x) = 0
(-1260x + 30x2) = 0

Solving
-1260x + 30x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '30x'.
30x(-42 + x) = 0

Ignore the factor 30.
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 '(-42 + x)' equal to zero and attempt to solve:

Simplifying
-42 + x = 0

Solving
-42 + x = 0

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

Add '42' to each side of the equation.
-42 + 42 + x = 0 + 42

Combine like terms: -42 + 42 = 0
0 + x = 0 + 42
x = 0 + 42

Combine like terms: 0 + 42 = 42
x = 42

Simplifying
x = 42
Solution
x = {0, 42}