=0.2*x-1-100*x^2

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Solution for =0.2*x-1-100*x^2 equation: 


Simplifying
0 = 0.2x + -1 + -100x2

Reorder the terms:
0 = -1 + 0.2x + -100x2

Solving
0 = -1 + 0.2x + -100x2

Solving for variable 'x'.

Combine like terms: 0 + 1 = 1
1 + -0.2x + 100x2 = -1 + 0.2x + -100x2 + 1 + -0.2x + 100x2

Reorder the terms:
1 + -0.2x + 100x2 = -1 + 1 + 0.2x + -0.2x + -100x2 + 100x2

Combine like terms: -1 + 1 = 0
1 + -0.2x + 100x2 = 0 + 0.2x + -0.2x + -100x2 + 100x2
1 + -0.2x + 100x2 = 0.2x + -0.2x + -100x2 + 100x2

Combine like terms: 0.2x + -0.2x = 0.0
1 + -0.2x + 100x2 = 0.0 + -100x2 + 100x2
1 + -0.2x + 100x2 = -100x2 + 100x2

Combine like terms: -100x2 + 100x2 = 0
1 + -0.2x + 100x2 = 0

Begin completing the square.  Divide all terms by
100 the coefficient of the squared term: 

Divide each side by '100'.
0.01 + -0.002x + x2 = 0

Move the constant term to the right:

Add '-0.01' to each side of the equation.
0.01 + -0.002x + -0.01 + x2 = 0 + -0.01

Reorder the terms:
0.01 + -0.01 + -0.002x + x2 = 0 + -0.01

Combine like terms: 0.01 + -0.01 = 0.00
0.00 + -0.002x + x2 = 0 + -0.01
-0.002x + x2 = 0 + -0.01

Combine like terms: 0 + -0.01 = -0.01
-0.002x + x2 = -0.01

The x term is -0.002x.  Take half its coefficient (-0.001).
Square it (0.000001) and add it to both sides.

Add '0.000001' to each side of the equation.
-0.002x + 0.000001 + x2 = -0.01 + 0.000001

Reorder the terms:
0.000001 + -0.002x + x2 = -0.01 + 0.000001

Combine like terms: -0.01 + 0.000001 = -0.009999
0.000001 + -0.002x + x2 = -0.009999

Factor a perfect square on the left side:
(x + -0.001)(x + -0.001) = -0.009999

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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