71r^2-151r+87=0

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Solution for 71r^2-151r+87=0 equation:


Simplifying
71r2 + -151r + 87 = 0

Reorder the terms:
87 + -151r + 71r2 = 0

Solving
87 + -151r + 71r2 = 0

Solving for variable 'r'.

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

Divide each side by '71'.
1.225352113 + -2.126760563r + r2 = 0

Move the constant term to the right:

Add '-1.225352113' to each side of the equation.
1.225352113 + -2.126760563r + -1.225352113 + r2 = 0 + -1.225352113

Reorder the terms:
1.225352113 + -1.225352113 + -2.126760563r + r2 = 0 + -1.225352113

Combine like terms: 1.225352113 + -1.225352113 = 0.000000000
0.000000000 + -2.126760563r + r2 = 0 + -1.225352113
-2.126760563r + r2 = 0 + -1.225352113

Combine like terms: 0 + -1.225352113 = -1.225352113
-2.126760563r + r2 = -1.225352113

The r term is -2.126760563r.  Take half its coefficient (-1.063380282).
Square it (1.130777624) and add it to both sides.

Add '1.130777624' to each side of the equation.
-2.126760563r + 1.130777624 + r2 = -1.225352113 + 1.130777624

Reorder the terms:
1.130777624 + -2.126760563r + r2 = -1.225352113 + 1.130777624

Combine like terms: -1.225352113 + 1.130777624 = -0.094574489
1.130777624 + -2.126760563r + r2 = -0.094574489

Factor a perfect square on the left side:
(r + -1.063380282)(r + -1.063380282) = -0.094574489

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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