15+6m+18=2m(m+3)

Solution for 15+6m+18=2m(m+3) equation:

Simplifying
15 + 6m + 18 = 2m(m + 3)

Reorder the terms:
15 + 18 + 6m = 2m(m + 3)

Combine like terms: 15 + 18 = 33
33 + 6m = 2m(m + 3)

Reorder the terms:
33 + 6m = 2m(3 + m)
33 + 6m = (3 * 2m + m * 2m)
33 + 6m = (6m + 2m2)

Add '-6m' to each side of the equation.
33 + 6m + -6m = 6m + -6m + 2m2

Combine like terms: 6m + -6m = 0
33 + 0 = 6m + -6m + 2m2
33 = 6m + -6m + 2m2

Combine like terms: 6m + -6m = 0
33 = 0 + 2m2
33 = 2m2

Solving
33 = 2m2

Solving for variable 'm'.

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

Add '-2m2' to each side of the equation.
33 + -2m2 = 2m2 + -2m2

Combine like terms: 2m2 + -2m2 = 0
33 + -2m2 = 0

Add '-33' to each side of the equation.
33 + -33 + -2m2 = 0 + -33

Combine like terms: 33 + -33 = 0
0 + -2m2 = 0 + -33
-2m2 = 0 + -33

Combine like terms: 0 + -33 = -33
-2m2 = -33

Divide each side by '-2'.
m2 = 16.5

Simplifying
m2 = 16.5

Take the square root of each side:
m = {-4.062019202, 4.062019202}