2m^2-7=11

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Solution for 2m^2-7=11 equation: 


Simplifying
2m2 + -7 = 11

Reorder the terms:
-7 + 2m2 = 11

Solving
-7 + 2m2 = 11

Solving for variable 'm'.

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

Add '7' to each side of the equation.
-7 + 7 + 2m2 = 11 + 7

Combine like terms: -7 + 7 = 0
0 + 2m2 = 11 + 7
2m2 = 11 + 7

Combine like terms: 11 + 7 = 18
2m2 = 18

Divide each side by '2'.
m2 = 9

Simplifying
m2 = 9

Take the square root of each side:
m = {-3, 3}

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