3m^2-35m=-105

Solution for 3m^2-35m=-105 equation:

Simplifying
3m2 + -35m = -105

Reorder the terms:
-35m + 3m2 = -105

Solving
-35m + 3m2 = -105

Solving for variable 'm'.

Reorder the terms:
105 + -35m + 3m2 = -105 + 105

Combine like terms: -105 + 105 = 0
105 + -35m + 3m2 = 0

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

Divide each side by '3'.
35 + -11.66666667m + m2 = 0

Move the constant term to the right:

Add '-35' to each side of the equation.
35 + -11.66666667m + -35 + m2 = 0 + -35

Reorder the terms:
35 + -35 + -11.66666667m + m2 = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -11.66666667m + m2 = 0 + -35
-11.66666667m + m2 = 0 + -35

Combine like terms: 0 + -35 = -35
-11.66666667m + m2 = -35

The m term is -11.66666667m.  Take half its coefficient (-5.833333335).
Square it (34.02777780) and add it to both sides.

Add '34.02777780' to each side of the equation.
-11.66666667m + 34.02777780 + m2 = -35 + 34.02777780

Reorder the terms:
34.02777780 + -11.66666667m + m2 = -35 + 34.02777780

Combine like terms: -35 + 34.02777780 = -0.9722222
34.02777780 + -11.66666667m + m2 = -0.9722222

Factor a perfect square on the left side:
(m + -5.833333335)(m + -5.833333335) = -0.9722222

Can't calculate square root of the right side.

The solution to this equation could not be determined.