35m^2-16=7m^2+108

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Solution for 35m^2-16=7m^2+108 equation: 


Simplifying
35m2 + -16 = 7m2 + 108

Reorder the terms:
-16 + 35m2 = 7m2 + 108

Reorder the terms:
-16 + 35m2 = 108 + 7m2

Solving
-16 + 35m2 = 108 + 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.
-16 + 35m2 + -7m2 = 108 + 7m2 + -7m2

Combine like terms: 35m2 + -7m2 = 28m2
-16 + 28m2 = 108 + 7m2 + -7m2

Combine like terms: 7m2 + -7m2 = 0
-16 + 28m2 = 108 + 0
-16 + 28m2 = 108

Add '16' to each side of the equation.
-16 + 16 + 28m2 = 108 + 16

Combine like terms: -16 + 16 = 0
0 + 28m2 = 108 + 16
28m2 = 108 + 16

Combine like terms: 108 + 16 = 124
28m2 = 124

Divide each side by '28'.
m2 = 4.428571429

Simplifying
m2 = 4.428571429

Take the square root of each side:
m = {-2.104417123, 2.104417123}

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