8r(8r)+3r+2=7r(7r)

Solution for 8r(8r)+3r+2=7r(7r) equation:

Simplifying
8r(8r) + 3r + 2 = 7r(7r)

Remove parenthesis around (8r)
8r * 8r + 3r + 2 = 7r(7r)

Reorder the terms for easier multiplication:
8 * 8r * r + 3r + 2 = 7r(7r)

Multiply 8 * 8
64r * r + 3r + 2 = 7r(7r)

Multiply r * r
64r2 + 3r + 2 = 7r(7r)

Reorder the terms:
2 + 3r + 64r2 = 7r(7r)

Remove parenthesis around (7r)
2 + 3r + 64r2 = 7r * 7r

Reorder the terms for easier multiplication:
2 + 3r + 64r2 = 7 * 7r * r

Multiply 7 * 7
2 + 3r + 64r2 = 49r * r

Multiply r * r
2 + 3r + 64r2 = 49r2

Solving
2 + 3r + 64r2 = 49r2

Solving for variable 'r'.

Combine like terms: 64r2 + -49r2 = 15r2
2 + 3r + 15r2 = 49r2 + -49r2

Combine like terms: 49r2 + -49r2 = 0
2 + 3r + 15r2 = 0

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

Divide each side by '15'.
0.1333333333 + 0.2r + r2 = 0

Move the constant term to the right:

Add '-0.1333333333' to each side of the equation.
0.1333333333 + 0.2r + -0.1333333333 + r2 = 0 + -0.1333333333

Reorder the terms:
0.1333333333 + -0.1333333333 + 0.2r + r2 = 0 + -0.1333333333

Combine like terms: 0.1333333333 + -0.1333333333 = 0.0000000000
0.0000000000 + 0.2r + r2 = 0 + -0.1333333333
0.2r + r2 = 0 + -0.1333333333

Combine like terms: 0 + -0.1333333333 = -0.1333333333
0.2r + r2 = -0.1333333333

The r term is 0.2r.  Take half its coefficient (0.1).
Square it (0.01) and add it to both sides.

Add '0.01' to each side of the equation.
0.2r + 0.01 + r2 = -0.1333333333 + 0.01

Reorder the terms:
0.01 + 0.2r + r2 = -0.1333333333 + 0.01

Combine like terms: -0.1333333333 + 0.01 = -0.1233333333
0.01 + 0.2r + r2 = -0.1233333333

Factor a perfect square on the left side:
(r + 0.1)(r + 0.1) = -0.1233333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.