13.6=26+9.23x+9.23x^2

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Solution for 13.6=26+9.23x+9.23x^2 equation:


Simplifying
13.6 = 26 + 9.23x + 9.23x2

Solving
13.6 = 26 + 9.23x + 9.23x2

Solving for variable 'x'.

Combine like terms: 13.6 + -26 = -12.4
-12.4 + -9.23x + -9.23x2 = 26 + 9.23x + 9.23x2 + -26 + -9.23x + -9.23x2

Reorder the terms:
-12.4 + -9.23x + -9.23x2 = 26 + -26 + 9.23x + -9.23x + 9.23x2 + -9.23x2

Combine like terms: 26 + -26 = 0
-12.4 + -9.23x + -9.23x2 = 0 + 9.23x + -9.23x + 9.23x2 + -9.23x2
-12.4 + -9.23x + -9.23x2 = 9.23x + -9.23x + 9.23x2 + -9.23x2

Combine like terms: 9.23x + -9.23x = 0.00
-12.4 + -9.23x + -9.23x2 = 0.00 + 9.23x2 + -9.23x2
-12.4 + -9.23x + -9.23x2 = 9.23x2 + -9.23x2

Combine like terms: 9.23x2 + -9.23x2 = 0.00
-12.4 + -9.23x + -9.23x2 = 0.00

Begin completing the square.  Divide all terms by
-9.23 the coefficient of the squared term: 

Divide each side by '-9.23'.
1.343445287 + x + x2 = 0

Move the constant term to the right:

Add '-1.343445287' to each side of the equation.
1.343445287 + x + -1.343445287 + x2 = 0 + -1.343445287

Reorder the terms:
1.343445287 + -1.343445287 + x + x2 = 0 + -1.343445287

Combine like terms: 1.343445287 + -1.343445287 = 0.000000000
0.000000000 + x + x2 = 0 + -1.343445287
x + x2 = 0 + -1.343445287

Combine like terms: 0 + -1.343445287 = -1.343445287
x + x2 = -1.343445287

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.
 + 0.25 + x2 = -1.343445287 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + x2 = -1.343445287 + 0.25

Combine like terms: -1.343445287 + 0.25 = -1.093445287
1.25 + x2 = -1.093445287

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -1.093445287

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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