462+m^2=4m^2-306

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Solution for 462+m^2=4m^2-306 equation: 


Simplifying
462 + m2 = 4m2 + -306

Reorder the terms:
462 + m2 = -306 + 4m2

Solving
462 + m2 = -306 + 4m2

Solving for variable 'm'.

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

Add '-4m2' to each side of the equation.
462 + m2 + -4m2 = -306 + 4m2 + -4m2

Combine like terms: m2 + -4m2 = -3m2
462 + -3m2 = -306 + 4m2 + -4m2

Combine like terms: 4m2 + -4m2 = 0
462 + -3m2 = -306 + 0
462 + -3m2 = -306

Add '-462' to each side of the equation.
462 + -462 + -3m2 = -306 + -462

Combine like terms: 462 + -462 = 0
0 + -3m2 = -306 + -462
-3m2 = -306 + -462

Combine like terms: -306 + -462 = -768
-3m2 = -768

Divide each side by '-3'.
m2 = 256

Simplifying
m2 = 256

Take the square root of each side:
m = {-16, 16}

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