x^2-15x^2+73x-116=0

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Solution for x^2-15x^2+73x-116=0 equation: 


Simplifying
x2 + -15x2 + 73x + -116 = 0

Reorder the terms:
-116 + 73x + x2 + -15x2 = 0

Combine like terms: x2 + -15x2 = -14x2
-116 + 73x + -14x2 = 0

Solving
-116 + 73x + -14x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-14 the coefficient of the squared term: 

Divide each side by '-14'.
8.285714286 + -5.214285714x + x2 = 0

Move the constant term to the right:

Add '-8.285714286' to each side of the equation.
8.285714286 + -5.214285714x + -8.285714286 + x2 = 0 + -8.285714286

Reorder the terms:
8.285714286 + -8.285714286 + -5.214285714x + x2 = 0 + -8.285714286

Combine like terms: 8.285714286 + -8.285714286 = 0.000000000
0.000000000 + -5.214285714x + x2 = 0 + -8.285714286
-5.214285714x + x2 = 0 + -8.285714286

Combine like terms: 0 + -8.285714286 = -8.285714286
-5.214285714x + x2 = -8.285714286

The x term is -5.214285714x.  Take half its coefficient (-2.607142857).
Square it (6.797193877) and add it to both sides.

Add '6.797193877' to each side of the equation.
-5.214285714x + 6.797193877 + x2 = -8.285714286 + 6.797193877

Reorder the terms:
6.797193877 + -5.214285714x + x2 = -8.285714286 + 6.797193877

Combine like terms: -8.285714286 + 6.797193877 = -1.488520409
6.797193877 + -5.214285714x + x2 = -1.488520409

Factor a perfect square on the left side:
(x + -2.607142857)(x + -2.607142857) = -1.488520409

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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