3r^2-20r+26=-26

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Solution for 3r^2-20r+26=-26 equation: 


Simplifying
3r2 + -20r + 26 = -26

Reorder the terms:
26 + -20r + 3r2 = -26

Solving
26 + -20r + 3r2 = -26

Solving for variable 'r'.

Reorder the terms:
26 + 26 + -20r + 3r2 = -26 + 26

Combine like terms: 26 + 26 = 52
52 + -20r + 3r2 = -26 + 26

Combine like terms: -26 + 26 = 0
52 + -20r + 3r2 = 0

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

Divide each side by '3'.
17.33333333 + -6.666666667r + r2 = 0

Move the constant term to the right:

Add '-17.33333333' to each side of the equation.
17.33333333 + -6.666666667r + -17.33333333 + r2 = 0 + -17.33333333

Reorder the terms:
17.33333333 + -17.33333333 + -6.666666667r + r2 = 0 + -17.33333333

Combine like terms: 17.33333333 + -17.33333333 = 0.00000000
0.00000000 + -6.666666667r + r2 = 0 + -17.33333333
-6.666666667r + r2 = 0 + -17.33333333

Combine like terms: 0 + -17.33333333 = -17.33333333
-6.666666667r + r2 = -17.33333333

The r term is -6.666666667r.  Take half its coefficient (-3.333333334).
Square it (11.11111112) and add it to both sides.

Add '11.11111112' to each side of the equation.
-6.666666667r + 11.11111112 + r2 = -17.33333333 + 11.11111112

Reorder the terms:
11.11111112 + -6.666666667r + r2 = -17.33333333 + 11.11111112

Combine like terms: -17.33333333 + 11.11111112 = -6.22222221
11.11111112 + -6.666666667r + r2 = -6.22222221

Factor a perfect square on the left side:
(r + -3.333333334)(r + -3.333333334) = -6.22222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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