2X^2+-8X=0

Solution for 2X^2+-8X=0 equation:

Simplifying
2X2 + -8X = 0

Reorder the terms:
-8X + 2X2 = 0

Solving
-8X + 2X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '2X'.
2X(-4 + X) = 0

Ignore the factor 2.
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 '(-4 + X)' equal to zero and attempt to solve:

Simplifying
-4 + X = 0

Solving
-4 + X = 0

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

Add '4' to each side of the equation.
-4 + 4 + X = 0 + 4

Combine like terms: -4 + 4 = 0
0 + X = 0 + 4
X = 0 + 4

Combine like terms: 0 + 4 = 4
X = 4

Simplifying
X = 4
Solution
X = {0, 4}