-9=0.3x^2-x-8

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Solution for -9=0.3x^2-x-8 equation:


Simplifying
-9 = 0.3x2 + -1x + -8

Reorder the terms:
-9 = -8 + -1x + 0.3x2

Solving
-9 = -8 + -1x + 0.3x2

Solving for variable 'x'.

Combine like terms: -9 + 8 = -1
-1 + x + -0.3x2 = -8 + -1x + 0.3x2 + 8 + x + -0.3x2

Reorder the terms:
-1 + x + -0.3x2 = -8 + 8 + -1x + x + 0.3x2 + -0.3x2

Combine like terms: -8 + 8 = 0
-1 + x + -0.3x2 = 0 + -1x + x + 0.3x2 + -0.3x2
-1 + x + -0.3x2 = -1x + x + 0.3x2 + -0.3x2

Combine like terms: -1x + x = 0
-1 + x + -0.3x2 = 0 + 0.3x2 + -0.3x2
-1 + x + -0.3x2 = 0.3x2 + -0.3x2

Combine like terms: 0.3x2 + -0.3x2 = 0.0
-1 + x + -0.3x2 = 0.0

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

Divide each side by '-0.3'.
3.333333333 + -3.333333333x + x2 = 0

Move the constant term to the right:

Add '-3.333333333' to each side of the equation.
3.333333333 + -3.333333333x + -3.333333333 + x2 = 0 + -3.333333333

Reorder the terms:
3.333333333 + -3.333333333 + -3.333333333x + x2 = 0 + -3.333333333

Combine like terms: 3.333333333 + -3.333333333 = 0.000000000
0.000000000 + -3.333333333x + x2 = 0 + -3.333333333
-3.333333333x + x2 = 0 + -3.333333333

Combine like terms: 0 + -3.333333333 = -3.333333333
-3.333333333x + x2 = -3.333333333

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-3.333333333x + 0.25 + x2 = -3.333333333 + 0.25

Reorder the terms:
0.25 + -3.333333333x + x2 = -3.333333333 + 0.25

Combine like terms: -3.333333333 + 0.25 = -3.083333333
0.25 + -3.333333333x + x2 = -3.083333333

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -3.083333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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