3m^2+5=m^2-7m-18

Solution for 3m^2+5=m^2-7m-18 equation:

Simplifying
3m2 + 5 = m2 + -7m + -18

Reorder the terms:
5 + 3m2 = m2 + -7m + -18

Reorder the terms:
5 + 3m2 = -18 + -7m + m2

Solving
5 + 3m2 = -18 + -7m + m2

Solving for variable 'm'.

Reorder the terms:
5 + 18 + 7m + 3m2 + -1m2 = -18 + -7m + m2 + 18 + 7m + -1m2

Combine like terms: 5 + 18 = 23
23 + 7m + 3m2 + -1m2 = -18 + -7m + m2 + 18 + 7m + -1m2

Combine like terms: 3m2 + -1m2 = 2m2
23 + 7m + 2m2 = -18 + -7m + m2 + 18 + 7m + -1m2

Reorder the terms:
23 + 7m + 2m2 = -18 + 18 + -7m + 7m + m2 + -1m2

Combine like terms: -18 + 18 = 0
23 + 7m + 2m2 = 0 + -7m + 7m + m2 + -1m2
23 + 7m + 2m2 = -7m + 7m + m2 + -1m2

Combine like terms: -7m + 7m = 0
23 + 7m + 2m2 = 0 + m2 + -1m2
23 + 7m + 2m2 = m2 + -1m2

Combine like terms: m2 + -1m2 = 0
23 + 7m + 2m2 = 0

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

Divide each side by '2'.
11.5 + 3.5m + m2 = 0

Move the constant term to the right:

Add '-11.5' to each side of the equation.
11.5 + 3.5m + -11.5 + m2 = 0 + -11.5

Reorder the terms:
11.5 + -11.5 + 3.5m + m2 = 0 + -11.5

Combine like terms: 11.5 + -11.5 = 0.0
0.0 + 3.5m + m2 = 0 + -11.5
3.5m + m2 = 0 + -11.5

Combine like terms: 0 + -11.5 = -11.5
3.5m + m2 = -11.5

The m term is 3.5m.  Take half its coefficient (1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
3.5m + 3.0625 + m2 = -11.5 + 3.0625

Reorder the terms:
3.0625 + 3.5m + m2 = -11.5 + 3.0625

Combine like terms: -11.5 + 3.0625 = -8.4375
3.0625 + 3.5m + m2 = -8.4375

Factor a perfect square on the left side:
(m + 1.75)(m + 1.75) = -8.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.