5m^2-23m+3=-2m^2-3

Solution for 5m^2-23m+3=-2m^2-3 equation:

Simplifying
5m2 + -23m + 3 = -2m2 + -3

Reorder the terms:
3 + -23m + 5m2 = -2m2 + -3

Reorder the terms:
3 + -23m + 5m2 = -3 + -2m2

Solving
3 + -23m + 5m2 = -3 + -2m2

Solving for variable 'm'.

Reorder the terms:
3 + 3 + -23m + 5m2 + 2m2 = -3 + -2m2 + 3 + 2m2

Combine like terms: 3 + 3 = 6
6 + -23m + 5m2 + 2m2 = -3 + -2m2 + 3 + 2m2

Combine like terms: 5m2 + 2m2 = 7m2
6 + -23m + 7m2 = -3 + -2m2 + 3 + 2m2

Reorder the terms:
6 + -23m + 7m2 = -3 + 3 + -2m2 + 2m2

Combine like terms: -3 + 3 = 0
6 + -23m + 7m2 = 0 + -2m2 + 2m2
6 + -23m + 7m2 = -2m2 + 2m2

Combine like terms: -2m2 + 2m2 = 0
6 + -23m + 7m2 = 0

Factor a trinomial.
(2 + -7m)(3 + -1m) = 0

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

Simplifying
2 + -7m = 0

Solving
2 + -7m = 0

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

Add '-2' to each side of the equation.
2 + -2 + -7m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7m = 0 + -2
-7m = 0 + -2

Combine like terms: 0 + -2 = -2
-7m = -2

Divide each side by '-7'.
m = 0.2857142857

Simplifying
m = 0.2857142857
Subproblem 2
Set the factor '(3 + -1m)' equal to zero and attempt to solve:

Simplifying
3 + -1m = 0

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

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

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

Divide each side by '-1'.
m = 3

Simplifying
m = 3
Solution
m = {0.2857142857, 3}