0=x^2+6.5x+13

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Solution for 0=x^2+6.5x+13 equation:


Simplifying
0 = x2 + 6.5x + 13

Reorder the terms:
0 = 13 + 6.5x + x2

Solving
0 = 13 + 6.5x + x2

Solving for variable 'x'.

Combine like terms: 0 + -13 = -13
-13 + -6.5x + -1x2 = 13 + 6.5x + x2 + -13 + -6.5x + -1x2

Reorder the terms:
-13 + -6.5x + -1x2 = 13 + -13 + 6.5x + -6.5x + x2 + -1x2

Combine like terms: 13 + -13 = 0
-13 + -6.5x + -1x2 = 0 + 6.5x + -6.5x + x2 + -1x2
-13 + -6.5x + -1x2 = 6.5x + -6.5x + x2 + -1x2

Combine like terms: 6.5x + -6.5x = 0.0
-13 + -6.5x + -1x2 = 0.0 + x2 + -1x2
-13 + -6.5x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-13 + -6.5x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
13 + 6.5x + x2 = 0

Move the constant term to the right:

Add '-13' to each side of the equation.
13 + 6.5x + -13 + x2 = 0 + -13

Reorder the terms:
13 + -13 + 6.5x + x2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 6.5x + x2 = 0 + -13
6.5x + x2 = 0 + -13

Combine like terms: 0 + -13 = -13
6.5x + x2 = -13

The x term is 6.5x.  Take half its coefficient (3.25).
Square it (10.5625) and add it to both sides.

Add '10.5625' to each side of the equation.
6.5x + 10.5625 + x2 = -13 + 10.5625

Reorder the terms:
10.5625 + 6.5x + x2 = -13 + 10.5625

Combine like terms: -13 + 10.5625 = -2.4375
10.5625 + 6.5x + x2 = -2.4375

Factor a perfect square on the left side:
(x + 3.25)(x + 3.25) = -2.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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