4x^2-72x+325=0

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Solution for 4x^2-72x+325=0 equation:


Simplifying
4x2 + -72x + 325 = 0

Reorder the terms:
325 + -72x + 4x2 = 0

Solving
325 + -72x + 4x2 = 0

Solving for variable 'x'.

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

Divide each side by '4'.
81.25 + -18x + x2 = 0

Move the constant term to the right:

Add '-81.25' to each side of the equation.
81.25 + -18x + -81.25 + x2 = 0 + -81.25

Reorder the terms:
81.25 + -81.25 + -18x + x2 = 0 + -81.25

Combine like terms: 81.25 + -81.25 = 0.00
0.00 + -18x + x2 = 0 + -81.25
-18x + x2 = 0 + -81.25

Combine like terms: 0 + -81.25 = -81.25
-18x + x2 = -81.25

The x term is -18x.  Take half its coefficient (-9).
Square it (81) and add it to both sides.

Add '81' to each side of the equation.
-18x + 81 + x2 = -81.25 + 81

Reorder the terms:
81 + -18x + x2 = -81.25 + 81

Combine like terms: -81.25 + 81 = -0.25
81 + -18x + x2 = -0.25

Factor a perfect square on the left side:
(x + -9)(x + -9) = -0.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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