4(m*m-3)-m*m=24

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Solution for 4(m*m-3)-m*m=24 equation: 


Simplifying
4(m * m + -3) + -1m * m = 24

Multiply m * m
4(m2 + -3) + -1m * m = 24

Reorder the terms:
4(-3 + m2) + -1m * m = 24
(-3 * 4 + m2 * 4) + -1m * m = 24
(-12 + 4m2) + -1m * m = 24

Multiply m * m
-12 + 4m2 + -1m2 = 24

Combine like terms: 4m2 + -1m2 = 3m2
-12 + 3m2 = 24

Solving
-12 + 3m2 = 24

Solving for variable 'm'.

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

Add '12' to each side of the equation.
-12 + 12 + 3m2 = 24 + 12

Combine like terms: -12 + 12 = 0
0 + 3m2 = 24 + 12
3m2 = 24 + 12

Combine like terms: 24 + 12 = 36
3m2 = 36

Divide each side by '3'.
m2 = 12

Simplifying
m2 = 12

Take the square root of each side:
m = {-3.464101615, 3.464101615}

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