x^2=.95x-2x

Solution for x^2=.95x-2x equation:

Simplifying
x2 = 0.95x + -2x

Combine like terms: 0.95x + -2x = -1.05x
x2 = -1.05x

Solving
x2 = -1.05x

Solving for variable 'x'.

Reorder the terms:
1.05x + x2 = -1.05x + 1.05x

Combine like terms: -1.05x + 1.05x = 0.00
1.05x + x2 = 0.00

Factor out the Greatest Common Factor (GCF), 'x'.
x(1.05 + 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 '(1.05 + x)' equal to zero and attempt to solve:

Simplifying
1.05 + x = 0

Solving
1.05 + x = 0

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

Add '-1.05' to each side of the equation.
1.05 + -1.05 + x = 0 + -1.05

Combine like terms: 1.05 + -1.05 = 0.00
0.00 + x = 0 + -1.05
x = 0 + -1.05

Combine like terms: 0 + -1.05 = -1.05
x = -1.05

Simplifying
x = -1.05
Solution
x = {0, -1.05}