(m^2)-2m+19=0

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Solution for (m^2)-2m+19=0 equation:


Simplifying
(m2) + -2m + 19 = 0
m2 + -2m + 19 = 0

Reorder the terms:
19 + -2m + m2 = 0

Solving
19 + -2m + m2 = 0

Solving for variable 'm'.

Begin completing the square.

Move the constant term to the right:

Add '-19' to each side of the equation.
19 + -2m + -19 + m2 = 0 + -19

Reorder the terms:
19 + -19 + -2m + m2 = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -2m + m2 = 0 + -19
-2m + m2 = 0 + -19

Combine like terms: 0 + -19 = -19
-2m + m2 = -19

The m term is -2m.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2m + 1 + m2 = -19 + 1

Reorder the terms:
1 + -2m + m2 = -19 + 1

Combine like terms: -19 + 1 = -18
1 + -2m + m2 = -18

Factor a perfect square on the left side:
(m + -1)(m + -1) = -18

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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