4x^2-24x+39=0

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Solution for 4x^2-24x+39=0 equation:


Simplifying
4x2 + -24x + 39 = 0

Reorder the terms:
39 + -24x + 4x2 = 0

Solving
39 + -24x + 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'.
9.75 + -6x + x2 = 0

Move the constant term to the right:

Add '-9.75' to each side of the equation.
9.75 + -6x + -9.75 + x2 = 0 + -9.75

Reorder the terms:
9.75 + -9.75 + -6x + x2 = 0 + -9.75

Combine like terms: 9.75 + -9.75 = 0.00
0.00 + -6x + x2 = 0 + -9.75
-6x + x2 = 0 + -9.75

Combine like terms: 0 + -9.75 = -9.75
-6x + x2 = -9.75

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = -9.75 + 9

Reorder the terms:
9 + -6x + x2 = -9.75 + 9

Combine like terms: -9.75 + 9 = -0.75
9 + -6x + x2 = -0.75

Factor a perfect square on the left side:
(x + -3)(x + -3) = -0.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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