2x^2-12x+50=25

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Solution for 2x^2-12x+50=25 equation:


Simplifying
2x2 + -12x + 50 = 25

Reorder the terms:
50 + -12x + 2x2 = 25

Solving
50 + -12x + 2x2 = 25

Solving for variable 'x'.

Reorder the terms:
50 + -25 + -12x + 2x2 = 25 + -25

Combine like terms: 50 + -25 = 25
25 + -12x + 2x2 = 25 + -25

Combine like terms: 25 + -25 = 0
25 + -12x + 2x2 = 0

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

Divide each side by '2'.
12.5 + -6x + x2 = 0

Move the constant term to the right:

Add '-12.5' to each side of the equation.
12.5 + -6x + -12.5 + x2 = 0 + -12.5

Reorder the terms:
12.5 + -12.5 + -6x + x2 = 0 + -12.5

Combine like terms: 12.5 + -12.5 = 0.0
0.0 + -6x + x2 = 0 + -12.5
-6x + x2 = 0 + -12.5

Combine like terms: 0 + -12.5 = -12.5
-6x + x2 = -12.5

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = -12.5 + 9

Reorder the terms:
9 + -6x + x2 = -12.5 + 9

Combine like terms: -12.5 + 9 = -3.5
9 + -6x + x2 = -3.5

Factor a perfect square on the left side:
(x + -3)(x + -3) = -3.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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