6r^2=-5r-5

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Solution for 6r^2=-5r-5 equation:


Simplifying
6r2 = -5r + -5

Reorder the terms:
6r2 = -5 + -5r

Solving
6r2 = -5 + -5r

Solving for variable 'r'.

Reorder the terms:
5 + 5r + 6r2 = -5 + -5r + 5 + 5r

Reorder the terms:
5 + 5r + 6r2 = -5 + 5 + -5r + 5r

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

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

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

Divide each side by '6'.
0.8333333333 + 0.8333333333r + r2 = 0

Move the constant term to the right:

Add '-0.8333333333' to each side of the equation.
0.8333333333 + 0.8333333333r + -0.8333333333 + r2 = 0 + -0.8333333333

Reorder the terms:
0.8333333333 + -0.8333333333 + 0.8333333333r + r2 = 0 + -0.8333333333

Combine like terms: 0.8333333333 + -0.8333333333 = 0.0000000000
0.0000000000 + 0.8333333333r + r2 = 0 + -0.8333333333
0.8333333333r + r2 = 0 + -0.8333333333

Combine like terms: 0 + -0.8333333333 = -0.8333333333
0.8333333333r + r2 = -0.8333333333

The r term is 0.8333333333r.  Take half its coefficient (0.4166666667).
Square it (0.1736111111) and add it to both sides.

Add '0.1736111111' to each side of the equation.
0.8333333333r + 0.1736111111 + r2 = -0.8333333333 + 0.1736111111

Reorder the terms:
0.1736111111 + 0.8333333333r + r2 = -0.8333333333 + 0.1736111111

Combine like terms: -0.8333333333 + 0.1736111111 = -0.6597222222
0.1736111111 + 0.8333333333r + r2 = -0.6597222222

Factor a perfect square on the left side:
(r + 0.4166666667)(r + 0.4166666667) = -0.6597222222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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