14m^2+2=6m^2+7m

Solution for 14m^2+2=6m^2+7m equation:

Simplifying
14m2 + 2 = 6m2 + 7m

Reorder the terms:
2 + 14m2 = 6m2 + 7m

Reorder the terms:
2 + 14m2 = 7m + 6m2

Solving
2 + 14m2 = 7m + 6m2

Solving for variable 'm'.

Reorder the terms:
2 + -7m + 14m2 + -6m2 = 7m + 6m2 + -7m + -6m2

Combine like terms: 14m2 + -6m2 = 8m2
2 + -7m + 8m2 = 7m + 6m2 + -7m + -6m2

Reorder the terms:
2 + -7m + 8m2 = 7m + -7m + 6m2 + -6m2

Combine like terms: 7m + -7m = 0
2 + -7m + 8m2 = 0 + 6m2 + -6m2
2 + -7m + 8m2 = 6m2 + -6m2

Combine like terms: 6m2 + -6m2 = 0
2 + -7m + 8m2 = 0

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

Divide each side by '8'.
0.25 + -0.875m + m2 = 0

Move the constant term to the right:

Add '-0.25' to each side of the equation.
0.25 + -0.875m + -0.25 + m2 = 0 + -0.25

Reorder the terms:
0.25 + -0.25 + -0.875m + m2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + -0.875m + m2 = 0 + -0.25
-0.875m + m2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
-0.875m + m2 = -0.25

The m term is -0.875m.  Take half its coefficient (-0.4375).
Square it (0.19140625) and add it to both sides.

Add '0.19140625' to each side of the equation.
-0.875m + 0.19140625 + m2 = -0.25 + 0.19140625

Reorder the terms:
0.19140625 + -0.875m + m2 = -0.25 + 0.19140625

Combine like terms: -0.25 + 0.19140625 = -0.05859375
0.19140625 + -0.875m + m2 = -0.05859375

Factor a perfect square on the left side:
(m + -0.4375)(m + -0.4375) = -0.05859375

Can't calculate square root of the right side.

The solution to this equation could not be determined.