x(x-78)=0

Solution for x(x-78)=0 equation:

Simplifying
x(x + -78) = 0

Reorder the terms:
x(-78 + x) = 0
(-78 * x + x * x) = 0
(-78x + x2) = 0

Solving
-78x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-78 + 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 '(-78 + x)' equal to zero and attempt to solve:

Simplifying
-78 + x = 0

Solving
-78 + x = 0

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

Add '78' to each side of the equation.
-78 + 78 + x = 0 + 78

Combine like terms: -78 + 78 = 0
0 + x = 0 + 78
x = 0 + 78

Combine like terms: 0 + 78 = 78
x = 78

Simplifying
x = 78
Solution
x = {0, 78}