x^2-15x^2+75x-125=0

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Solution for x^2-15x^2+75x-125=0 equation: 


Simplifying
x2 + -15x2 + 75x + -125 = 0

Reorder the terms:
-125 + 75x + x2 + -15x2 = 0

Combine like terms: x2 + -15x2 = -14x2
-125 + 75x + -14x2 = 0

Solving
-125 + 75x + -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'.
8.928571429 + -5.357142857x + x2 = 0

Move the constant term to the right:

Add '-8.928571429' to each side of the equation.
8.928571429 + -5.357142857x + -8.928571429 + x2 = 0 + -8.928571429

Reorder the terms:
8.928571429 + -8.928571429 + -5.357142857x + x2 = 0 + -8.928571429

Combine like terms: 8.928571429 + -8.928571429 = 0.000000000
0.000000000 + -5.357142857x + x2 = 0 + -8.928571429
-5.357142857x + x2 = 0 + -8.928571429

Combine like terms: 0 + -8.928571429 = -8.928571429
-5.357142857x + x2 = -8.928571429

The x term is -5.357142857x.  Take half its coefficient (-2.678571429).
Square it (7.174744900) and add it to both sides.

Add '7.174744900' to each side of the equation.
-5.357142857x + 7.174744900 + x2 = -8.928571429 + 7.174744900

Reorder the terms:
7.174744900 + -5.357142857x + x2 = -8.928571429 + 7.174744900

Combine like terms: -8.928571429 + 7.174744900 = -1.753826529
7.174744900 + -5.357142857x + x2 = -1.753826529

Factor a perfect square on the left side:
(x + -2.678571429)(x + -2.678571429) = -1.753826529

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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