(7m-3)(2m-11)=

Solution for (7m-3)(2m-11)= equation:

Simplifying
(7m + -3)(2m + -11) = 0

Reorder the terms:
(-3 + 7m)(2m + -11) = 0

Reorder the terms:
(-3 + 7m)(-11 + 2m) = 0

Multiply (-3 + 7m) * (-11 + 2m)
(-3(-11 + 2m) + 7m * (-11 + 2m)) = 0
((-11 * -3 + 2m * -3) + 7m * (-11 + 2m)) = 0
((33 + -6m) + 7m * (-11 + 2m)) = 0
(33 + -6m + (-11 * 7m + 2m * 7m)) = 0
(33 + -6m + (-77m + 14m2)) = 0

Combine like terms: -6m + -77m = -83m
(33 + -83m + 14m2) = 0

Solving
33 + -83m + 14m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(3 + -7m)(11 + -2m) = 0

Subproblem 1
Set the factor '(3 + -7m)' equal to zero and attempt to solve:

Simplifying
3 + -7m = 0

Solving
3 + -7m = 0

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

Add '-3' to each side of the equation.
3 + -3 + -7m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7m = 0 + -3
-7m = 0 + -3

Combine like terms: 0 + -3 = -3
-7m = -3

Divide each side by '-7'.
m = 0.4285714286

Simplifying
m = 0.4285714286
Subproblem 2
Set the factor '(11 + -2m)' equal to zero and attempt to solve:

Simplifying
11 + -2m = 0

Solving
11 + -2m = 0

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

Add '-11' to each side of the equation.
11 + -11 + -2m = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -2m = 0 + -11
-2m = 0 + -11

Combine like terms: 0 + -11 = -11
-2m = -11

Divide each side by '-2'.
m = 5.5

Simplifying
m = 5.5
Solution
m = {0.4285714286, 5.5}