-7m(m-3)=2(4m+3)

Solution for -7m(m-3)=2(4m+3) equation:

Simplifying
-7m(m + -3) = 2(4m + 3)

Reorder the terms:
-7m(-3 + m) = 2(4m + 3)
(-3 * -7m + m * -7m) = 2(4m + 3)
(21m + -7m2) = 2(4m + 3)

Reorder the terms:
21m + -7m2 = 2(3 + 4m)
21m + -7m2 = (3 * 2 + 4m * 2)
21m + -7m2 = (6 + 8m)

Solving
21m + -7m2 = 6 + 8m

Solving for variable 'm'.

Reorder the terms:
-6 + 21m + -8m + -7m2 = 6 + 8m + -6 + -8m

Combine like terms: 21m + -8m = 13m
-6 + 13m + -7m2 = 6 + 8m + -6 + -8m

Reorder the terms:
-6 + 13m + -7m2 = 6 + -6 + 8m + -8m

Combine like terms: 6 + -6 = 0
-6 + 13m + -7m2 = 0 + 8m + -8m
-6 + 13m + -7m2 = 8m + -8m

Combine like terms: 8m + -8m = 0
-6 + 13m + -7m2 = 0

Factor a trinomial.
(-1 + m)(6 + -7m) = 0

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

Simplifying
-1 + m = 0

Solving
-1 + m = 0

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

Add '1' to each side of the equation.
-1 + 1 + m = 0 + 1

Combine like terms: -1 + 1 = 0
0 + m = 0 + 1
m = 0 + 1

Combine like terms: 0 + 1 = 1
m = 1

Simplifying
m = 1
Subproblem 2
Set the factor '(6 + -7m)' equal to zero and attempt to solve:

Simplifying
6 + -7m = 0

Solving
6 + -7m = 0

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

Add '-6' to each side of the equation.
6 + -6 + -7m = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -7m = 0 + -6
-7m = 0 + -6

Combine like terms: 0 + -6 = -6
-7m = -6

Divide each side by '-7'.
m = 0.8571428571

Simplifying
m = 0.8571428571
Solution
m = {1, 0.8571428571}