x^2=5.1x

Solution for x^2=5.1x equation:

Simplifying
x2 = 5.1x

Solving
x2 = 5.1x

Solving for variable 'x'.

Reorder the terms:
-5.1x + x2 = 5.1x + -5.1x

Combine like terms: 5.1x + -5.1x = 0.0
-5.1x + x2 = 0.0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-5.1 + x) = 0.0

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 '(-5.1 + x)' equal to zero and attempt to solve:

Simplifying
-5.1 + x = 0

Solving
-5.1 + x = 0

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

Add '5.1' to each side of the equation.
-5.1 + 5.1 + x = 0 + 5.1

Combine like terms: -5.1 + 5.1 = 0.0
0.0 + x = 0 + 5.1
x = 0 + 5.1

Combine like terms: 0 + 5.1 = 5.1
x = 5.1

Simplifying
x = 5.1
Solution
x = {0, 5.1}