36(m-79)(m+79)=5

Solution for 36(m-79)(m+79)=5 equation:

Simplifying
36(m + -79)(m + 79) = 5

Reorder the terms:
36(-79 + m)(m + 79) = 5

Reorder the terms:
36(-79 + m)(79 + m) = 5

Multiply (-79 + m) * (79 + m)
36(-79(79 + m) + m(79 + m)) = 5
36((79 * -79 + m * -79) + m(79 + m)) = 5
36((-6241 + -79m) + m(79 + m)) = 5
36(-6241 + -79m + (79 * m + m * m)) = 5
36(-6241 + -79m + (79m + m2)) = 5

Combine like terms: -79m + 79m = 0
36(-6241 + 0 + m2) = 5
36(-6241 + m2) = 5
(-6241 * 36 + m2 * 36) = 5
(-224676 + 36m2) = 5

Solving
-224676 + 36m2 = 5

Solving for variable 'm'.

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

Add '224676' to each side of the equation.
-224676 + 224676 + 36m2 = 5 + 224676

Combine like terms: -224676 + 224676 = 0
0 + 36m2 = 5 + 224676
36m2 = 5 + 224676

Combine like terms: 5 + 224676 = 224681
36m2 = 224681

Divide each side by '36'.
m2 = 6241.138889

Simplifying
m2 = 6241.138889

Take the square root of each side:
m = {-79.000879039, 79.000879039}