6x^2-15x+250=0

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Solution for 6x^2-15x+250=0 equation:


Simplifying
6x2 + -15x + 250 = 0

Reorder the terms:
250 + -15x + 6x2 = 0

Solving
250 + -15x + 6x2 = 0

Solving for variable 'x'.

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

Divide each side by '6'.
41.66666667 + -2.5x + x2 = 0

Move the constant term to the right:

Add '-41.66666667' to each side of the equation.
41.66666667 + -2.5x + -41.66666667 + x2 = 0 + -41.66666667

Reorder the terms:
41.66666667 + -41.66666667 + -2.5x + x2 = 0 + -41.66666667

Combine like terms: 41.66666667 + -41.66666667 = 0.00000000
0.00000000 + -2.5x + x2 = 0 + -41.66666667
-2.5x + x2 = 0 + -41.66666667

Combine like terms: 0 + -41.66666667 = -41.66666667
-2.5x + x2 = -41.66666667

The x term is -2.5x.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5x + 1.5625 + x2 = -41.66666667 + 1.5625

Reorder the terms:
1.5625 + -2.5x + x2 = -41.66666667 + 1.5625

Combine like terms: -41.66666667 + 1.5625 = -40.10416667
1.5625 + -2.5x + x2 = -40.10416667

Factor a perfect square on the left side:
(x + -1.25)(x + -1.25) = -40.10416667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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