25x^2-85x+81=0

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Solution for 25x^2-85x+81=0 equation:


Simplifying
25x2 + -85x + 81 = 0

Reorder the terms:
81 + -85x + 25x2 = 0

Solving
81 + -85x + 25x2 = 0

Solving for variable 'x'.

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

Divide each side by '25'.
3.24 + -3.4x + x2 = 0

Move the constant term to the right:

Add '-3.24' to each side of the equation.
3.24 + -3.4x + -3.24 + x2 = 0 + -3.24

Reorder the terms:
3.24 + -3.24 + -3.4x + x2 = 0 + -3.24

Combine like terms: 3.24 + -3.24 = 0.00
0.00 + -3.4x + x2 = 0 + -3.24
-3.4x + x2 = 0 + -3.24

Combine like terms: 0 + -3.24 = -3.24
-3.4x + x2 = -3.24

The x term is -3.4x.  Take half its coefficient (-1.7).
Square it (2.89) and add it to both sides.

Add '2.89' to each side of the equation.
-3.4x + 2.89 + x2 = -3.24 + 2.89

Reorder the terms:
2.89 + -3.4x + x2 = -3.24 + 2.89

Combine like terms: -3.24 + 2.89 = -0.35
2.89 + -3.4x + x2 = -0.35

Factor a perfect square on the left side:
(x + -1.7)(x + -1.7) = -0.35

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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