4x^2-27x+405=0

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Solution for 4x^2-27x+405=0 equation:


Simplifying
4x2 + -27x + 405 = 0

Reorder the terms:
405 + -27x + 4x2 = 0

Solving
405 + -27x + 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'.
101.25 + -6.75x + x2 = 0

Move the constant term to the right:

Add '-101.25' to each side of the equation.
101.25 + -6.75x + -101.25 + x2 = 0 + -101.25

Reorder the terms:
101.25 + -101.25 + -6.75x + x2 = 0 + -101.25

Combine like terms: 101.25 + -101.25 = 0.00
0.00 + -6.75x + x2 = 0 + -101.25
-6.75x + x2 = 0 + -101.25

Combine like terms: 0 + -101.25 = -101.25
-6.75x + x2 = -101.25

The x term is -6.75x.  Take half its coefficient (-3.375).
Square it (11.390625) and add it to both sides.

Add '11.390625' to each side of the equation.
-6.75x + 11.390625 + x2 = -101.25 + 11.390625

Reorder the terms:
11.390625 + -6.75x + x2 = -101.25 + 11.390625

Combine like terms: -101.25 + 11.390625 = -89.859375
11.390625 + -6.75x + x2 = -89.859375

Factor a perfect square on the left side:
(x + -3.375)(x + -3.375) = -89.859375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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