x^2-0.1x-0.6x=0

Solution for x^2-0.1x-0.6x=0 equation:

Simplifying
x2 + -0.1x + -0.6x = 0

Reorder the terms:
-0.1x + -0.6x + x2 = 0

Combine like terms: -0.1x + -0.6x = -0.7x
-0.7x + x2 = 0

Solving
-0.7x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-0.7 + 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 '(-0.7 + x)' equal to zero and attempt to solve:

Simplifying
-0.7 + x = 0

Solving
-0.7 + x = 0

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

Add '0.7' to each side of the equation.
-0.7 + 0.7 + x = 0 + 0.7

Combine like terms: -0.7 + 0.7 = 0.0
0.0 + x = 0 + 0.7
x = 0 + 0.7

Combine like terms: 0 + 0.7 = 0.7
x = 0.7

Simplifying
x = 0.7
Solution
x = {0, 0.7}