x^2-4.23x=0.80x

Solution for x^2-4.23x=0.80x equation:

Simplifying
x2 + -4.23x = 0.80x

Reorder the terms:
-4.23x + x2 = 0.80x

Solving
-4.23x + x2 = 0.80x

Solving for variable 'x'.

Reorder the terms:
-4.23x + -0.80x + x2 = 0.80x + -0.80x

Combine like terms: -4.23x + -0.80x = -5.03x
-5.03x + x2 = 0.80x + -0.80x

Combine like terms: 0.80x + -0.80x = 0.00
-5.03x + x2 = 0.00

Factor out the Greatest Common Factor (GCF), 'x'.
x(-5.03 + x) = 0.00

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 '(-5.03 + x)' equal to zero and attempt to solve:

Simplifying
-5.03 + x = 0

Solving
-5.03 + x = 0

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

Add '5.03' to each side of the equation.
-5.03 + 5.03 + x = 0 + 5.03

Combine like terms: -5.03 + 5.03 = 0.00
0.00 + x = 0 + 5.03
x = 0 + 5.03

Combine like terms: 0 + 5.03 = 5.03
x = 5.03

Simplifying
x = 5.03
Solution
x = {0, 5.03}