14x(3x-9)=0

Solution for 14x(3x-9)=0 equation:

Simplifying
14x(3x + -9) = 0

Reorder the terms:
14x(-9 + 3x) = 0
(-9 * 14x + 3x * 14x) = 0
(-126x + 42x2) = 0

Solving
-126x + 42x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '42x'.
42x(-3 + x) = 0

Ignore the factor 42.
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 '(-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 = {0, 3}