5m^2+2=47

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Solution for 5m^2+2=47 equation: 


Simplifying
5m2 + 2 = 47

Reorder the terms:
2 + 5m2 = 47

Solving
2 + 5m2 = 47

Solving for variable 'm'.

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

Add '-2' to each side of the equation.
2 + -2 + 5m2 = 47 + -2

Combine like terms: 2 + -2 = 0
0 + 5m2 = 47 + -2
5m2 = 47 + -2

Combine like terms: 47 + -2 = 45
5m2 = 45

Divide each side by '5'.
m2 = 9

Simplifying
m2 = 9

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

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