4(9m^2+1)-4(m^2+9)=0

Solution for 4(9m^2+1)-4(m^2+9)=0 equation:

Simplifying
4(9m2 + 1) + -4(m2 + 9) = 0

Reorder the terms:
4(1 + 9m2) + -4(m2 + 9) = 0
(1 * 4 + 9m2 * 4) + -4(m2 + 9) = 0
(4 + 36m2) + -4(m2 + 9) = 0

Reorder the terms:
4 + 36m2 + -4(9 + m2) = 0
4 + 36m2 + (9 * -4 + m2 * -4) = 0
4 + 36m2 + (-36 + -4m2) = 0

Reorder the terms:
4 + -36 + 36m2 + -4m2 = 0

Combine like terms: 4 + -36 = -32
-32 + 36m2 + -4m2 = 0

Combine like terms: 36m2 + -4m2 = 32m2
-32 + 32m2 = 0

Solving
-32 + 32m2 = 0

Solving for variable 'm'.

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

Add '32' to each side of the equation.
-32 + 32 + 32m2 = 0 + 32

Combine like terms: -32 + 32 = 0
0 + 32m2 = 0 + 32
32m2 = 0 + 32

Combine like terms: 0 + 32 = 32
32m2 = 32

Divide each side by '32'.
m2 = 1

Simplifying
m2 = 1

Take the square root of each side:
m = {-1, 1}