2x^2-7x=x

Solution for 2x^2-7x=x equation:

Simplifying
2x2 + -7x = x

Reorder the terms:
-7x + 2x2 = x

Solving
-7x + 2x2 = x

Solving for variable 'x'.

Reorder the terms:
-7x + -1x + 2x2 = x + -1x

Combine like terms: -7x + -1x = -8x
-8x + 2x2 = x + -1x

Combine like terms: x + -1x = 0
-8x + 2x2 = 0

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}