u^2+4u+24=0

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Solution for u^2+4u+24=0 equation:


Simplifying
u2 + 4u + 24 = 0

Reorder the terms:
24 + 4u + u2 = 0

Solving
24 + 4u + u2 = 0

Solving for variable 'u'.

Begin completing the square.

Move the constant term to the right:

Add '-24' to each side of the equation.
24 + 4u + -24 + u2 = 0 + -24

Reorder the terms:
24 + -24 + 4u + u2 = 0 + -24

Combine like terms: 24 + -24 = 0
0 + 4u + u2 = 0 + -24
4u + u2 = 0 + -24

Combine like terms: 0 + -24 = -24
4u + u2 = -24

The u term is 4u.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4u + 4 + u2 = -24 + 4

Reorder the terms:
4 + 4u + u2 = -24 + 4

Combine like terms: -24 + 4 = -20
4 + 4u + u2 = -20

Factor a perfect square on the left side:
(u + 2)(u + 2) = -20

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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