13.09=11+6.4x-0.5(9.8)x^2

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Solution for 13.09=11+6.4x-0.5(9.8)x^2 equation: 


Simplifying
13.09 = 11 + 6.4x + -0.5(9.8) * x2

Multiply -0.5 * 9.8
13.09 = 11 + 6.4x + -4.9x2

Solving
13.09 = 11 + 6.4x + -4.9x2

Solving for variable 'x'.

Combine like terms: 13.09 + -11 = 2.09
2.09 + -6.4x + 4.9x2 = 11 + 6.4x + -4.9x2 + -11 + -6.4x + 4.9x2

Reorder the terms:
2.09 + -6.4x + 4.9x2 = 11 + -11 + 6.4x + -6.4x + -4.9x2 + 4.9x2

Combine like terms: 11 + -11 = 0
2.09 + -6.4x + 4.9x2 = 0 + 6.4x + -6.4x + -4.9x2 + 4.9x2
2.09 + -6.4x + 4.9x2 = 6.4x + -6.4x + -4.9x2 + 4.9x2

Combine like terms: 6.4x + -6.4x = 0.0
2.09 + -6.4x + 4.9x2 = 0.0 + -4.9x2 + 4.9x2
2.09 + -6.4x + 4.9x2 = -4.9x2 + 4.9x2

Combine like terms: -4.9x2 + 4.9x2 = 0.0
2.09 + -6.4x + 4.9x2 = 0.0

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

Divide each side by '4.9'.
0.4265306122 + -1.306122449x + x2 = 0

Move the constant term to the right:

Add '-0.4265306122' to each side of the equation.
0.4265306122 + -1.306122449x + -0.4265306122 + x2 = 0 + -0.4265306122

Reorder the terms:
0.4265306122 + -0.4265306122 + -1.306122449x + x2 = 0 + -0.4265306122

Combine like terms: 0.4265306122 + -0.4265306122 = 0.0000000000
0.0000000000 + -1.306122449x + x2 = 0 + -0.4265306122
-1.306122449x + x2 = 0 + -0.4265306122

Combine like terms: 0 + -0.4265306122 = -0.4265306122
-1.306122449x + x2 = -0.4265306122

The x term is -1.306122449x.  Take half its coefficient (-0.6530612245).
Square it (0.4264889629) and add it to both sides.

Add '0.4264889629' to each side of the equation.
-1.306122449x + 0.4264889629 + x2 = -0.4265306122 + 0.4264889629

Reorder the terms:
0.4264889629 + -1.306122449x + x2 = -0.4265306122 + 0.4264889629

Combine like terms: -0.4265306122 + 0.4264889629 = -0.0000416493
0.4264889629 + -1.306122449x + x2 = -0.0000416493

Factor a perfect square on the left side:
(x + -0.6530612245)(x + -0.6530612245) = -0.0000416493

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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