m^2=6m-10

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Solution for m^2=6m-10 equation:


Simplifying
m2 = 6m + -10

Reorder the terms:
m2 = -10 + 6m

Solving
m2 = -10 + 6m

Solving for variable 'm'.

Reorder the terms:
10 + -6m + m2 = -10 + 6m + 10 + -6m

Reorder the terms:
10 + -6m + m2 = -10 + 10 + 6m + -6m

Combine like terms: -10 + 10 = 0
10 + -6m + m2 = 0 + 6m + -6m
10 + -6m + m2 = 6m + -6m

Combine like terms: 6m + -6m = 0
10 + -6m + m2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + -6m + -10 + m2 = 0 + -10

Reorder the terms:
10 + -10 + -6m + m2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -6m + m2 = 0 + -10
-6m + m2 = 0 + -10

Combine like terms: 0 + -10 = -10
-6m + m2 = -10

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

Add '9' to each side of the equation.
-6m + 9 + m2 = -10 + 9

Reorder the terms:
9 + -6m + m2 = -10 + 9

Combine like terms: -10 + 9 = -1
9 + -6m + m2 = -1

Factor a perfect square on the left side:
(m + -3)(m + -3) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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