x^2+576=10x

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Solution for x^2+576=10x equation:


Simplifying
x2 + 576 = 10x

Reorder the terms:
576 + x2 = 10x

Solving
576 + x2 = 10x

Solving for variable 'x'.

Reorder the terms:
576 + -10x + x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
576 + -10x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-576' to each side of the equation.
576 + -10x + -576 + x2 = 0 + -576

Reorder the terms:
576 + -576 + -10x + x2 = 0 + -576

Combine like terms: 576 + -576 = 0
0 + -10x + x2 = 0 + -576
-10x + x2 = 0 + -576

Combine like terms: 0 + -576 = -576
-10x + x2 = -576

The x term is -10x.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10x + 25 + x2 = -576 + 25

Reorder the terms:
25 + -10x + x2 = -576 + 25

Combine like terms: -576 + 25 = -551
25 + -10x + x2 = -551

Factor a perfect square on the left side:
(x + -5)(x + -5) = -551

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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