m^2-10m+34=0

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Solution for m^2-10m+34=0 equation:


Simplifying
m2 + -10m + 34 = 0

Reorder the terms:
34 + -10m + m2 = 0

Solving
34 + -10m + m2 = 0

Solving for variable 'm'.

Begin completing the square.

Move the constant term to the right:

Add '-34' to each side of the equation.
34 + -10m + -34 + m2 = 0 + -34

Reorder the terms:
34 + -34 + -10m + m2 = 0 + -34

Combine like terms: 34 + -34 = 0
0 + -10m + m2 = 0 + -34
-10m + m2 = 0 + -34

Combine like terms: 0 + -34 = -34
-10m + m2 = -34

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

Add '25' to each side of the equation.
-10m + 25 + m2 = -34 + 25

Reorder the terms:
25 + -10m + m2 = -34 + 25

Combine like terms: -34 + 25 = -9
25 + -10m + m2 = -9

Factor a perfect square on the left side:
(m + -5)(m + -5) = -9

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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