5m^2-27=40

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Solution for 5m^2-27=40 equation:


Simplifying
5m2 + -27 = 40

Reorder the terms:
-27 + 5m2 = 40

Solving
-27 + 5m2 = 40

Solving for variable 'm'.

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

Add '27' to each side of the equation.
-27 + 27 + 5m2 = 40 + 27

Combine like terms: -27 + 27 = 0
0 + 5m2 = 40 + 27
5m2 = 40 + 27

Combine like terms: 40 + 27 = 67
5m2 = 67

Divide each side by '5'.
m2 = 13.4

Simplifying
m2 = 13.4

Take the square root of each side:
m = {-3.660601044, 3.660601044}

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