3(2m+-7)(2m+7)=

Solution for 3(2m+-7)(2m+7)= equation:

Simplifying
3(2m + -7)(2m + 7) = 0

Reorder the terms:
3(-7 + 2m)(2m + 7) = 0

Reorder the terms:
3(-7 + 2m)(7 + 2m) = 0

Multiply (-7 + 2m) * (7 + 2m)
3(-7(7 + 2m) + 2m * (7 + 2m)) = 0
3((7 * -7 + 2m * -7) + 2m * (7 + 2m)) = 0
3((-49 + -14m) + 2m * (7 + 2m)) = 0
3(-49 + -14m + (7 * 2m + 2m * 2m)) = 0
3(-49 + -14m + (14m + 4m2)) = 0

Combine like terms: -14m + 14m = 0
3(-49 + 0 + 4m2) = 0
3(-49 + 4m2) = 0
(-49 * 3 + 4m2 * 3) = 0
(-147 + 12m2) = 0

Solving
-147 + 12m2 = 0

Solving for variable 'm'.

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

Add '147' to each side of the equation.
-147 + 147 + 12m2 = 0 + 147

Combine like terms: -147 + 147 = 0
0 + 12m2 = 0 + 147
12m2 = 0 + 147

Combine like terms: 0 + 147 = 147
12m2 = 147

Divide each side by '12'.
m2 = 12.25

Simplifying
m2 = 12.25

Take the square root of each side:
m = {-3.5, 3.5}