x(x-49)=0

Solution for x(x-49)=0 equation:

Simplifying
x(x + -49) = 0

Reorder the terms:
x(-49 + x) = 0
(-49 * x + x * x) = 0
(-49x + x2) = 0

Solving
-49x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-49 + x) = 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 '(-49 + x)' equal to zero and attempt to solve:

Simplifying
-49 + x = 0

Solving
-49 + x = 0

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

Add '49' to each side of the equation.
-49 + 49 + x = 0 + 49

Combine like terms: -49 + 49 = 0
0 + x = 0 + 49
x = 0 + 49

Combine like terms: 0 + 49 = 49
x = 49

Simplifying
x = 49
Solution
x = {0, 49}