7m^2-23m+21=m^2

Solution for 7m^2-23m+21=m^2 equation:

Simplifying
7m2 + -23m + 21 = m2

Reorder the terms:
21 + -23m + 7m2 = m2

Solving
21 + -23m + 7m2 = m2

Solving for variable 'm'.

Combine like terms: 7m2 + -1m2 = 6m2
21 + -23m + 6m2 = m2 + -1m2

Combine like terms: m2 + -1m2 = 0
21 + -23m + 6m2 = 0

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

Subproblem 1
Set the factor '(3 + -2m)' equal to zero and attempt to solve:

Simplifying
3 + -2m = 0

Solving
3 + -2m = 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 + -2m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2m = 0 + -3
-2m = 0 + -3

Combine like terms: 0 + -3 = -3
-2m = -3

Divide each side by '-2'.
m = 1.5

Simplifying
m = 1.5
Subproblem 2
Set the factor '(7 + -3m)' equal to zero and attempt to solve:

Simplifying
7 + -3m = 0

Solving
7 + -3m = 0

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

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

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

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

Divide each side by '-3'.
m = 2.333333333

Simplifying
m = 2.333333333
Solution
m = {1.5, 2.333333333}