2x+x*x=8x

Solution for 2x+x*x=8x equation:

Simplifying
2x + x * x = 8x

Multiply x * x
2x + x2 = 8x

Solving
2x + x2 = 8x

Solving for variable 'x'.

Reorder the terms:
2x + -8x + x2 = 8x + -8x

Combine like terms: 2x + -8x = -6x
-6x + x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
-6x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-6 + 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 '(-6 + x)' equal to zero and attempt to solve:

Simplifying
-6 + x = 0

Solving
-6 + x = 0

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

Add '6' to each side of the equation.
-6 + 6 + x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + x = 0 + 6
x = 0 + 6

Combine like terms: 0 + 6 = 6
x = 6

Simplifying
x = 6
Solution
x = {0, 6}