d-24=d^2

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Solution for d-24=d^2 equation:


Simplifying
d + -24 = d2

Reorder the terms:
-24 + d = d2

Solving
-24 + d = d2

Solving for variable 'd'.

Combine like terms: d2 + -1d2 = 0
-24 + d + -1d2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
24 + -1d + d2 = 0

Move the constant term to the right:

Add '-24' to each side of the equation.
24 + -1d + -24 + d2 = 0 + -24

Reorder the terms:
24 + -24 + -1d + d2 = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -1d + d2 = 0 + -24
-1d + d2 = 0 + -24

Combine like terms: 0 + -24 = -24
-1d + d2 = -24

The d term is d.  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.
-1d + 0.25 + d2 = -24 + 0.25

Reorder the terms:
0.25 + -1d + d2 = -24 + 0.25

Combine like terms: -24 + 0.25 = -23.75
0.25 + -1d + d2 = -23.75

Factor a perfect square on the left side:
(d + 0.5)(d + 0.5) = -23.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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