21m^2-3=-11m+3

Solution for 21m^2-3=-11m+3 equation:

Simplifying
21m2 + -3 = -11m + 3

Reorder the terms:
-3 + 21m2 = -11m + 3

Reorder the terms:
-3 + 21m2 = 3 + -11m

Solving
-3 + 21m2 = 3 + -11m

Solving for variable 'm'.

Reorder the terms:
-3 + -3 + 11m + 21m2 = 3 + -11m + -3 + 11m

Combine like terms: -3 + -3 = -6
-6 + 11m + 21m2 = 3 + -11m + -3 + 11m

Reorder the terms:
-6 + 11m + 21m2 = 3 + -3 + -11m + 11m

Combine like terms: 3 + -3 = 0
-6 + 11m + 21m2 = 0 + -11m + 11m
-6 + 11m + 21m2 = -11m + 11m

Combine like terms: -11m + 11m = 0
-6 + 11m + 21m2 = 0

Factor a trinomial.
(-6 + -7m)(1 + -3m) = 0

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

Simplifying
1 + -3m = 0

Solving
1 + -3m = 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 + -3m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3m = 0 + -1
-3m = 0 + -1

Combine like terms: 0 + -1 = -1
-3m = -1

Divide each side by '-3'.
m = 0.3333333333

Simplifying
m = 0.3333333333
Solution
m = {-0.8571428571, 0.3333333333}