7r^2-5r+3=0

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Solution for 7r^2-5r+3=0 equation: 


Simplifying
7r2 + -5r + 3 = 0

Reorder the terms:
3 + -5r + 7r2 = 0

Solving
3 + -5r + 7r2 = 0

Solving for variable 'r'.

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

Divide each side by '7'.
0.4285714286 + -0.7142857143r + r2 = 0

Move the constant term to the right:

Add '-0.4285714286' to each side of the equation.
0.4285714286 + -0.7142857143r + -0.4285714286 + r2 = 0 + -0.4285714286

Reorder the terms:
0.4285714286 + -0.4285714286 + -0.7142857143r + r2 = 0 + -0.4285714286

Combine like terms: 0.4285714286 + -0.4285714286 = 0.0000000000
0.0000000000 + -0.7142857143r + r2 = 0 + -0.4285714286
-0.7142857143r + r2 = 0 + -0.4285714286

Combine like terms: 0 + -0.4285714286 = -0.4285714286
-0.7142857143r + r2 = -0.4285714286

The r term is -0.7142857143r.  Take half its coefficient (-0.3571428572).
Square it (0.1275510204) and add it to both sides.

Add '0.1275510204' to each side of the equation.
-0.7142857143r + 0.1275510204 + r2 = -0.4285714286 + 0.1275510204

Reorder the terms:
0.1275510204 + -0.7142857143r + r2 = -0.4285714286 + 0.1275510204

Combine like terms: -0.4285714286 + 0.1275510204 = -0.3010204082
0.1275510204 + -0.7142857143r + r2 = -0.3010204082

Factor a perfect square on the left side:
(r + -0.3571428572)(r + -0.3571428572) = -0.3010204082

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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