6u^2+6u+64=0

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Solution for 6u^2+6u+64=0 equation:


Simplifying
6u2 + 6u + 64 = 0

Reorder the terms:
64 + 6u + 6u2 = 0

Solving
64 + 6u + 6u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '2'.
2(32 + 3u + 3u2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(32 + 3u + 3u2)' equal to zero and attempt to solve: Simplifying 32 + 3u + 3u2 = 0 Solving 32 + 3u + 3u2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 10.66666667 + u + u2 = 0 Move the constant term to the right: Add '-10.66666667' to each side of the equation. 10.66666667 + u + -10.66666667 + u2 = 0 + -10.66666667 Reorder the terms: 10.66666667 + -10.66666667 + u + u2 = 0 + -10.66666667 Combine like terms: 10.66666667 + -10.66666667 = 0.00000000 0.00000000 + u + u2 = 0 + -10.66666667 u + u2 = 0 + -10.66666667 Combine like terms: 0 + -10.66666667 = -10.66666667 u + u2 = -10.66666667 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 = -10.66666667 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + u2 = -10.66666667 + 0.25 Combine like terms: -10.66666667 + 0.25 = -10.41666667 1.25 + u2 = -10.41666667 Factor a perfect square on the left side: (u + 0.5)(u + 0.5) = -10.41666667 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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