x^2-24x=10x

Solution for x^2-24x=10x equation:

Simplifying
x2 + -24x = 10x

Reorder the terms:
-24x + x2 = 10x

Solving
-24x + x2 = 10x

Solving for variable 'x'.

Reorder the terms:
-24x + -10x + x2 = 10x + -10x

Combine like terms: -24x + -10x = -34x
-34x + x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
-34x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-34 + 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 '(-34 + x)' equal to zero and attempt to solve:

Simplifying
-34 + x = 0

Solving
-34 + x = 0

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

Add '34' to each side of the equation.
-34 + 34 + x = 0 + 34

Combine like terms: -34 + 34 = 0
0 + x = 0 + 34
x = 0 + 34

Combine like terms: 0 + 34 = 34
x = 34

Simplifying
x = 34
Solution
x = {0, 34}