(8r^2+5r+14)-(7r^2+6r+8)=

Solution for (8r^2+5r+14)-(7r^2+6r+8)= equation:

Simplifying
(8r2 + 5r + 14) + -1(7r2 + 6r + 8) = 0

Reorder the terms:
(14 + 5r + 8r2) + -1(7r2 + 6r + 8) = 0

Remove parenthesis around (14 + 5r + 8r2)
14 + 5r + 8r2 + -1(7r2 + 6r + 8) = 0

Reorder the terms:
14 + 5r + 8r2 + -1(8 + 6r + 7r2) = 0
14 + 5r + 8r2 + (8 * -1 + 6r * -1 + 7r2 * -1) = 0
14 + 5r + 8r2 + (-8 + -6r + -7r2) = 0

Reorder the terms:
14 + -8 + 5r + -6r + 8r2 + -7r2 = 0

Combine like terms: 14 + -8 = 6
6 + 5r + -6r + 8r2 + -7r2 = 0

Combine like terms: 5r + -6r = -1r
6 + -1r + 8r2 + -7r2 = 0

Combine like terms: 8r2 + -7r2 = 1r2
6 + -1r + 1r2 = 0

Solving
6 + -1r + 1r2 = 0

Solving for variable 'r'.

Begin completing the square.

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -1r + -6 + r2 = 0 + -6

Reorder the terms:
6 + -6 + -1r + r2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1r + r2 = 0 + -6
-1r + r2 = 0 + -6

Combine like terms: 0 + -6 = -6
-1r + r2 = -6

The r term is -1r.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1r + 0.25 + r2 = -6 + 0.25

Reorder the terms:
0.25 + -1r + r2 = -6 + 0.25

Combine like terms: -6 + 0.25 = -5.75
0.25 + -1r + r2 = -5.75

Factor a perfect square on the left side:
(r + -0.5)(r + -0.5) = -5.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.