3r^2-10r=-10

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Solution for 3r^2-10r=-10 equation: 


Simplifying
3r2 + -10r = -10

Reorder the terms:
-10r + 3r2 = -10

Solving
-10r + 3r2 = -10

Solving for variable 'r'.

Reorder the terms:
10 + -10r + 3r2 = -10 + 10

Combine like terms: -10 + 10 = 0
10 + -10r + 3r2 = 0

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

Divide each side by '3'.
3.333333333 + -3.333333333r + r2 = 0

Move the constant term to the right:

Add '-3.333333333' to each side of the equation.
3.333333333 + -3.333333333r + -3.333333333 + r2 = 0 + -3.333333333

Reorder the terms:
3.333333333 + -3.333333333 + -3.333333333r + r2 = 0 + -3.333333333

Combine like terms: 3.333333333 + -3.333333333 = 0.000000000
0.000000000 + -3.333333333r + r2 = 0 + -3.333333333
-3.333333333r + r2 = 0 + -3.333333333

Combine like terms: 0 + -3.333333333 = -3.333333333
-3.333333333r + r2 = -3.333333333

The r term is -3.333333333r.  Take half its coefficient (-1.666666667).
Square it (2.777777779) and add it to both sides.

Add '2.777777779' to each side of the equation.
-3.333333333r + 2.777777779 + r2 = -3.333333333 + 2.777777779

Reorder the terms:
2.777777779 + -3.333333333r + r2 = -3.333333333 + 2.777777779

Combine like terms: -3.333333333 + 2.777777779 = -0.555555554
2.777777779 + -3.333333333r + r2 = -0.555555554

Factor a perfect square on the left side:
(r + -1.666666667)(r + -1.666666667) = -0.555555554

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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