x^2-10+24=x

Solution for x^2-10+24=x equation:

Simplifying
x2 + -10 + 24 = x

Reorder the terms:
-10 + 24 + x2 = x

Combine like terms: -10 + 24 = 14
14 + x2 = x

Solving
14 + x2 = x

Solving for variable 'x'.

Reorder the terms:
14 + -1x + x2 = x + -1x

Combine like terms: x + -1x = 0
14 + -1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-14' to each side of the equation.
14 + -1x + -14 + x2 = 0 + -14

Reorder the terms:
14 + -14 + -1x + x2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1x + x2 = 0 + -14
-1x + x2 = 0 + -14

Combine like terms: 0 + -14 = -14
-1x + x2 = -14

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -14 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -14 + 0.25

Combine like terms: -14 + 0.25 = -13.75
0.25 + -1x + x2 = -13.75

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -13.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.