5m^2-3=42

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Solution for 5m^2-3=42 equation: 


Simplifying
5m2 + -3 = 42

Reorder the terms:
-3 + 5m2 = 42

Solving
-3 + 5m2 = 42

Solving for variable 'm'.

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

Add '3' to each side of the equation.
-3 + 3 + 5m2 = 42 + 3

Combine like terms: -3 + 3 = 0
0 + 5m2 = 42 + 3
5m2 = 42 + 3

Combine like terms: 42 + 3 = 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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