11m-2m(m+2)=(2m+15)

Solution for 11m-2m(m+2)=(2m+15) equation:

Simplifying
11m + -2m(m + 2) = (2m + 15)

Reorder the terms:
11m + -2m(2 + m) = (2m + 15)
11m + (2 * -2m + m * -2m) = (2m + 15)
11m + (-4m + -2m2) = (2m + 15)

Combine like terms: 11m + -4m = 7m
7m + -2m2 = (2m + 15)

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

Remove parenthesis around (15 + 2m)
7m + -2m2 = 15 + 2m

Solving
7m + -2m2 = 15 + 2m

Solving for variable 'm'.

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

Combine like terms: 7m + -2m = 5m
-15 + 5m + -2m2 = 15 + 2m + -15 + -2m

Reorder the terms:
-15 + 5m + -2m2 = 15 + -15 + 2m + -2m

Combine like terms: 15 + -15 = 0
-15 + 5m + -2m2 = 0 + 2m + -2m
-15 + 5m + -2m2 = 2m + -2m

Combine like terms: 2m + -2m = 0
-15 + 5m + -2m2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
7.5 + -2.5m + m2 = 0

Move the constant term to the right:

Add '-7.5' to each side of the equation.
7.5 + -2.5m + -7.5 + m2 = 0 + -7.5

Reorder the terms:
7.5 + -7.5 + -2.5m + m2 = 0 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + -2.5m + m2 = 0 + -7.5
-2.5m + m2 = 0 + -7.5

Combine like terms: 0 + -7.5 = -7.5
-2.5m + m2 = -7.5

The m term is -2.5m.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5m + 1.5625 + m2 = -7.5 + 1.5625

Reorder the terms:
1.5625 + -2.5m + m2 = -7.5 + 1.5625

Combine like terms: -7.5 + 1.5625 = -5.9375
1.5625 + -2.5m + m2 = -5.9375

Factor a perfect square on the left side:
(m + -1.25)(m + -1.25) = -5.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.