8r^2+3r+2=7r

Solution for 8r^2+3r+2=7r equation:

Simplifying
8r2 + 3r + 2 = 7r

Reorder the terms:
2 + 3r + 8r2 = 7r

Solving
2 + 3r + 8r2 = 7r

Solving for variable 'r'.

Reorder the terms:
2 + 3r + -7r + 8r2 = 7r + -7r

Combine like terms: 3r + -7r = -4r
2 + -4r + 8r2 = 7r + -7r

Combine like terms: 7r + -7r = 0
2 + -4r + 8r2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -2r + 4r2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(1 + -2r + 4r2)' equal to zero and attempt to solve:

Simplifying
1 + -2r + 4r2 = 0

Solving
1 + -2r + 4r2 = 0

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

Divide each side by '4'.
0.25 + -0.5r + r2 = 0

Move the constant term to the right:

Add '-0.25' to each side of the equation.
0.25 + -0.5r + -0.25 + r2 = 0 + -0.25

Reorder the terms:
0.25 + -0.25 + -0.5r + r2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + -0.5r + r2 = 0 + -0.25
-0.5r + r2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
-0.5r + r2 = -0.25

The r term is -0.5r.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5r + 0.0625 + r2 = -0.25 + 0.0625

Reorder the terms:
0.0625 + -0.5r + r2 = -0.25 + 0.0625

Combine like terms: -0.25 + 0.0625 = -0.1875
0.0625 + -0.5r + r2 = -0.1875

Factor a perfect square on the left side:
(r + -0.25)(r + -0.25) = -0.1875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.