x^2-x=.98x

Solution for x^2-x=.98x equation:

Simplifying
x2 + -1x = 0.98x

Reorder the terms:
-1x + x2 = 0.98x

Solving
-1x + x2 = 0.98x

Solving for variable 'x'.

Reorder the terms:
-1x + -0.98x + x2 = 0.98x + -0.98x

Combine like terms: -1x + -0.98x = -1.98x
-1.98x + x2 = 0.98x + -0.98x

Combine like terms: 0.98x + -0.98x = 0.00
-1.98x + x2 = 0.00

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1.98 + 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 '(-1.98 + x)' equal to zero and attempt to solve:

Simplifying
-1.98 + x = 0

Solving
-1.98 + x = 0

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

Add '1.98' to each side of the equation.
-1.98 + 1.98 + x = 0 + 1.98

Combine like terms: -1.98 + 1.98 = 0.00
0.00 + x = 0 + 1.98
x = 0 + 1.98

Combine like terms: 0 + 1.98 = 1.98
x = 1.98

Simplifying
x = 1.98
Solution
x = {0, 1.98}