-0.3x^2+0.1x=0.02

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Solution for -0.3x^2+0.1x=0.02 equation:


Simplifying
-0.3x2 + 0.1x = 0.02

Reorder the terms:
0.1x + -0.3x2 = 0.02

Solving
0.1x + -0.3x2 = 0.02

Solving for variable 'x'.

Reorder the terms:
-0.02 + 0.1x + -0.3x2 = 0.02 + -0.02

Combine like terms: 0.02 + -0.02 = 0.00
-0.02 + 0.1x + -0.3x2 = 0.00

Begin completing the square.  Divide all terms by
-0.3 the coefficient of the squared term: 

Divide each side by '-0.3'.
0.06666666667 + -0.3333333333x + x2 = 0.0

Move the constant term to the right:

Add '-0.06666666667' to each side of the equation.
0.06666666667 + -0.3333333333x + -0.06666666667 + x2 = 0.0 + -0.06666666667

Reorder the terms:
0.06666666667 + -0.06666666667 + -0.3333333333x + x2 = 0.0 + -0.06666666667

Combine like terms: 0.06666666667 + -0.06666666667 = 0.00000000000
0.00000000000 + -0.3333333333x + x2 = 0.0 + -0.06666666667
-0.3333333333x + x2 = 0.0 + -0.06666666667

Combine like terms: 0.0 + -0.06666666667 = -0.06666666667
-0.3333333333x + x2 = -0.06666666667

The x term is -0.3333333333x.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333x + 0.02777777779 + x2 = -0.06666666667 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333x + x2 = -0.06666666667 + 0.02777777779

Combine like terms: -0.06666666667 + 0.02777777779 = -0.03888888888
0.02777777779 + -0.3333333333x + x2 = -0.03888888888

Factor a perfect square on the left side:
(x + -0.1666666667)(x + -0.1666666667) = -0.03888888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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