3m^2+13=m^2+397

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Solution for 3m^2+13=m^2+397 equation: 


Simplifying
3m2 + 13 = m2 + 397

Reorder the terms:
13 + 3m2 = m2 + 397

Reorder the terms:
13 + 3m2 = 397 + m2

Solving
13 + 3m2 = 397 + m2

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-1m2' to each side of the equation.
13 + 3m2 + -1m2 = 397 + m2 + -1m2

Combine like terms: 3m2 + -1m2 = 2m2
13 + 2m2 = 397 + m2 + -1m2

Combine like terms: m2 + -1m2 = 0
13 + 2m2 = 397 + 0
13 + 2m2 = 397

Add '-13' to each side of the equation.
13 + -13 + 2m2 = 397 + -13

Combine like terms: 13 + -13 = 0
0 + 2m2 = 397 + -13
2m2 = 397 + -13

Combine like terms: 397 + -13 = 384
2m2 = 384

Divide each side by '2'.
m2 = 192

Simplifying
m2 = 192

Take the square root of each side:
m = {-13.856406461, 13.856406461}

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