6m^2-9=285

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Solution for 6m^2-9=285 equation: 


Simplifying
6m2 + -9 = 285

Reorder the terms:
-9 + 6m2 = 285

Solving
-9 + 6m2 = 285

Solving for variable 'm'.

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

Add '9' to each side of the equation.
-9 + 9 + 6m2 = 285 + 9

Combine like terms: -9 + 9 = 0
0 + 6m2 = 285 + 9
6m2 = 285 + 9

Combine like terms: 285 + 9 = 294
6m2 = 294

Divide each side by '6'.
m2 = 49

Simplifying
m2 = 49

Take the square root of each side:
m = {-7, 7}

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