2m^2+8m=15m-3

Solution for 2m^2+8m=15m-3 equation:

Simplifying
2m2 + 8m = 15m + -3

Reorder the terms:
8m + 2m2 = 15m + -3

Reorder the terms:
8m + 2m2 = -3 + 15m

Solving
8m + 2m2 = -3 + 15m

Solving for variable 'm'.

Reorder the terms:
3 + 8m + -15m + 2m2 = -3 + 15m + 3 + -15m

Combine like terms: 8m + -15m = -7m
3 + -7m + 2m2 = -3 + 15m + 3 + -15m

Reorder the terms:
3 + -7m + 2m2 = -3 + 3 + 15m + -15m

Combine like terms: -3 + 3 = 0
3 + -7m + 2m2 = 0 + 15m + -15m
3 + -7m + 2m2 = 15m + -15m

Combine like terms: 15m + -15m = 0
3 + -7m + 2m2 = 0

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

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

Simplifying
1 + -2m = 0

Solving
1 + -2m = 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 + -2m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2m = 0 + -1
-2m = 0 + -1

Combine like terms: 0 + -1 = -1
-2m = -1

Divide each side by '-2'.
m = 0.5

Simplifying
m = 0.5
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 = {0.5, 3}