x^2-0.8x=0

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Solution for x^2-0.8x=0 equation: 


Simplifying
x2 + -0.8x = 0

Reorder the terms:
-0.8x + x2 = 0

Solving
-0.8x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-0.8 + x) = 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 '(-0.8 + x)' equal to zero and attempt to solve:

Simplifying
-0.8 + x = 0

Solving
-0.8 + x = 0

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

Add '0.8' to each side of the equation.
-0.8 + 0.8 + x = 0 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + x = 0 + 0.8
x = 0 + 0.8

Combine like terms: 0 + 0.8 = 0.8
x = 0.8

Simplifying
x = 0.8
Solution
x = {0, 0.8}

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