x^2-0.4x+0.85=0

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Solution for x^2-0.4x+0.85=0 equation:


Simplifying
x2 + -0.4x + 0.85 = 0

Reorder the terms:
0.85 + -0.4x + x2 = 0

Solving
0.85 + -0.4x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-0.85' to each side of the equation.
0.85 + -0.4x + -0.85 + x2 = 0 + -0.85

Reorder the terms:
0.85 + -0.85 + -0.4x + x2 = 0 + -0.85

Combine like terms: 0.85 + -0.85 = 0.00
0.00 + -0.4x + x2 = 0 + -0.85
-0.4x + x2 = 0 + -0.85

Combine like terms: 0 + -0.85 = -0.85
-0.4x + x2 = -0.85

The x term is -0.4x.  Take half its coefficient (-0.2).
Square it (0.04) and add it to both sides.

Add '0.04' to each side of the equation.
-0.4x + 0.04 + x2 = -0.85 + 0.04

Reorder the terms:
0.04 + -0.4x + x2 = -0.85 + 0.04

Combine like terms: -0.85 + 0.04 = -0.81
0.04 + -0.4x + x2 = -0.81

Factor a perfect square on the left side:
(x + -0.2)(x + -0.2) = -0.81

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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