5m^2=14m+3

Solution for 5m^2=14m+3 equation:

Simplifying
5m2 = 14m + 3

Reorder the terms:
5m2 = 3 + 14m

Solving
5m2 = 3 + 14m

Solving for variable 'm'.

Reorder the terms:
-3 + -14m + 5m2 = 3 + 14m + -3 + -14m

Reorder the terms:
-3 + -14m + 5m2 = 3 + -3 + 14m + -14m

Combine like terms: 3 + -3 = 0
-3 + -14m + 5m2 = 0 + 14m + -14m
-3 + -14m + 5m2 = 14m + -14m

Combine like terms: 14m + -14m = 0
-3 + -14m + 5m2 = 0

Factor a trinomial.
(-1 + -5m)(3 + -1m) = 0

Subproblem 1
Set the factor '(-1 + -5m)' equal to zero and attempt to solve:

Simplifying
-1 + -5m = 0

Solving
-1 + -5m = 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 + -5m = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -5m = 0 + 1
-5m = 0 + 1

Combine like terms: 0 + 1 = 1
-5m = 1

Divide each side by '-5'.
m = -0.2

Simplifying
m = -0.2
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 = {-0.2, 3}