3r^2-7r+8=0

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Solution for 3r^2-7r+8=0 equation: 


Simplifying
3r2 + -7r + 8 = 0

Reorder the terms:
8 + -7r + 3r2 = 0

Solving
8 + -7r + 3r2 = 0

Solving for variable 'r'.

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

Divide each side by '3'.
2.666666667 + -2.333333333r + r2 = 0

Move the constant term to the right:

Add '-2.666666667' to each side of the equation.
2.666666667 + -2.333333333r + -2.666666667 + r2 = 0 + -2.666666667

Reorder the terms:
2.666666667 + -2.666666667 + -2.333333333r + r2 = 0 + -2.666666667

Combine like terms: 2.666666667 + -2.666666667 = 0.000000000
0.000000000 + -2.333333333r + r2 = 0 + -2.666666667
-2.333333333r + r2 = 0 + -2.666666667

Combine like terms: 0 + -2.666666667 = -2.666666667
-2.333333333r + r2 = -2.666666667

The r term is -2.333333333r.  Take half its coefficient (-1.166666667).
Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side of the equation.
-2.333333333r + 1.361111112 + r2 = -2.666666667 + 1.361111112

Reorder the terms:
1.361111112 + -2.333333333r + r2 = -2.666666667 + 1.361111112

Combine like terms: -2.666666667 + 1.361111112 = -1.305555555
1.361111112 + -2.333333333r + r2 = -1.305555555

Factor a perfect square on the left side:
(r + -1.166666667)(r + -1.166666667) = -1.305555555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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