x^2-24x+576=0

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Solution for x^2-24x+576=0 equation:


Simplifying
x2 + -24x + 576 = 0

Reorder the terms:
576 + -24x + x2 = 0

Solving
576 + -24x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-576' to each side of the equation.
576 + -24x + -576 + x2 = 0 + -576

Reorder the terms:
576 + -576 + -24x + x2 = 0 + -576

Combine like terms: 576 + -576 = 0
0 + -24x + x2 = 0 + -576
-24x + x2 = 0 + -576

Combine like terms: 0 + -576 = -576
-24x + x2 = -576

The x term is -24x.  Take half its coefficient (-12).
Square it (144) and add it to both sides.

Add '144' to each side of the equation.
-24x + 144 + x2 = -576 + 144

Reorder the terms:
144 + -24x + x2 = -576 + 144

Combine like terms: -576 + 144 = -432
144 + -24x + x2 = -432

Factor a perfect square on the left side:
(x + -12)(x + -12) = -432

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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