2x^2=54x

Solution for 2x^2=54x equation:

Simplifying
2x2 = 54x

Solving
2x2 = 54x

Solving for variable 'x'.

Reorder the terms:
-54x + 2x2 = 54x + -54x

Combine like terms: 54x + -54x = 0
-54x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-27 + 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 '(-27 + x)' equal to zero and attempt to solve:

Simplifying
-27 + x = 0

Solving
-27 + x = 0

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

Add '27' to each side of the equation.
-27 + 27 + x = 0 + 27

Combine like terms: -27 + 27 = 0
0 + x = 0 + 27
x = 0 + 27

Combine like terms: 0 + 27 = 27
x = 27

Simplifying
x = 27
Solution
x = {0, 27}