x^2-10x+68=0

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Solution for x^2-10x+68=0 equation:


Simplifying
x2 + -10x + 68 = 0

Reorder the terms:
68 + -10x + x2 = 0

Solving
68 + -10x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-68' to each side of the equation.
68 + -10x + -68 + x2 = 0 + -68

Reorder the terms:
68 + -68 + -10x + x2 = 0 + -68

Combine like terms: 68 + -68 = 0
0 + -10x + x2 = 0 + -68
-10x + x2 = 0 + -68

Combine like terms: 0 + -68 = -68
-10x + x2 = -68

The x term is -10x.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10x + 25 + x2 = -68 + 25

Reorder the terms:
25 + -10x + x2 = -68 + 25

Combine like terms: -68 + 25 = -43
25 + -10x + x2 = -43

Factor a perfect square on the left side:
(x + -5)(x + -5) = -43

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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