24+x^2=6x

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Solution for 24+x^2=6x equation:


Simplifying
24 + x2 = 6x

Solving
24 + x2 = 6x

Solving for variable 'x'.

Reorder the terms:
24 + -6x + x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
24 + -6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-24' to each side of the equation.
24 + -6x + -24 + x2 = 0 + -24

Reorder the terms:
24 + -24 + -6x + x2 = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -6x + x2 = 0 + -24
-6x + x2 = 0 + -24

Combine like terms: 0 + -24 = -24
-6x + x2 = -24

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 = -24 + 9

Reorder the terms:
9 + -6x + x2 = -24 + 9

Combine like terms: -24 + 9 = -15
9 + -6x + x2 = -15

Factor a perfect square on the left side:
(x + -3)(x + -3) = -15

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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