6(u^2+15u+84)=

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Solution for 6(u^2+15u+84)= equation: 


Simplifying
6(u2 + 15u + 84) = 0

Reorder the terms:
6(84 + 15u + u2) = 0
(84 * 6 + 15u * 6 + u2 * 6) = 0
(504 + 90u + 6u2) = 0

Solving
504 + 90u + 6u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '6'.
6(84 + 15u + u2) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(84 + 15u + u2)' equal to zero and attempt to solve:

Simplifying
84 + 15u + u2 = 0

Solving
84 + 15u + u2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-84' to each side of the equation.
84 + 15u + -84 + u2 = 0 + -84

Reorder the terms:
84 + -84 + 15u + u2 = 0 + -84

Combine like terms: 84 + -84 = 0
0 + 15u + u2 = 0 + -84
15u + u2 = 0 + -84

Combine like terms: 0 + -84 = -84
15u + u2 = -84

The u term is 15u.  Take half its coefficient (7.5).
Square it (56.25) and add it to both sides.

Add '56.25' to each side of the equation.
15u + 56.25 + u2 = -84 + 56.25

Reorder the terms:
56.25 + 15u + u2 = -84 + 56.25

Combine like terms: -84 + 56.25 = -27.75
56.25 + 15u + u2 = -27.75

Factor a perfect square on the left side:
(u + 7.5)(u + 7.5) = -27.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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