5x^2-24x=x^2

Solution for 5x^2-24x=x^2 equation:

Simplifying
5x2 + -24x = x2

Reorder the terms:
-24x + 5x2 = x2

Solving
-24x + 5x2 = x2

Solving for variable 'x'.

Combine like terms: 5x2 + -1x2 = 4x2
-24x + 4x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-24x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-6 + x) = 0

Ignore the factor 4.
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}