4m^2-27-40=0

Solution for 4m^2-27-40=0 equation:

Simplifying
4m2 + -27 + -40 = 0

Reorder the terms:
-27 + -40 + 4m2 = 0

Combine like terms: -27 + -40 = -67
-67 + 4m2 = 0

Solving
-67 + 4m2 = 0

Solving for variable 'm'.

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

Add '67' to each side of the equation.
-67 + 67 + 4m2 = 0 + 67

Combine like terms: -67 + 67 = 0
0 + 4m2 = 0 + 67
4m2 = 0 + 67

Combine like terms: 0 + 67 = 67
4m2 = 67

Divide each side by '4'.
m2 = 16.75

Simplifying
m2 = 16.75

Take the square root of each side:
m = {-4.092676386, 4.092676386}