4u^2+4u+15=0

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Solution for 4u^2+4u+15=0 equation:


Simplifying
4u2 + 4u + 15 = 0

Reorder the terms:
15 + 4u + 4u2 = 0

Solving
15 + 4u + 4u2 = 0

Solving for variable 'u'.

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

Divide each side by '4'.
3.75 + u + u2 = 0

Move the constant term to the right:

Add '-3.75' to each side of the equation.
3.75 + u + -3.75 + u2 = 0 + -3.75

Reorder the terms:
3.75 + -3.75 + u + u2 = 0 + -3.75

Combine like terms: 3.75 + -3.75 = 0.00
0.00 + u + u2 = 0 + -3.75
u + u2 = 0 + -3.75

Combine like terms: 0 + -3.75 = -3.75
u + u2 = -3.75

The u term is u.  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.
 + 0.25 + u2 = -3.75 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + u2 = -3.75 + 0.25

Combine like terms: -3.75 + 0.25 = -3.5
1.25 + u2 = -3.5

Factor a perfect square on the left side:
(u + 0.5)(u + 0.5) = -3.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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