-4m^2+3+2=152-7m^2

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Solution for -4m^2+3+2=152-7m^2 equation: 


Simplifying
-4m2 + 3 + 2 = 152 + -7m2

Reorder the terms:
3 + 2 + -4m2 = 152 + -7m2

Combine like terms: 3 + 2 = 5
5 + -4m2 = 152 + -7m2

Solving
5 + -4m2 = 152 + -7m2

Solving for variable 'm'.

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

Add '7m2' to each side of the equation.
5 + -4m2 + 7m2 = 152 + -7m2 + 7m2

Combine like terms: -4m2 + 7m2 = 3m2
5 + 3m2 = 152 + -7m2 + 7m2

Combine like terms: -7m2 + 7m2 = 0
5 + 3m2 = 152 + 0
5 + 3m2 = 152

Add '-5' to each side of the equation.
5 + -5 + 3m2 = 152 + -5

Combine like terms: 5 + -5 = 0
0 + 3m2 = 152 + -5
3m2 = 152 + -5

Combine like terms: 152 + -5 = 147
3m2 = 147

Divide each side by '3'.
m2 = 49

Simplifying
m2 = 49

Take the square root of each side:
m = {-7, 7}

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