8(4u-1)12u=11(2u-6)

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Solution for 8(4u-1)12u=11(2u-6) equation:


Simplifying
8(4u + -1) * 12u = 11(2u + -6)

Reorder the terms:
8(-1 + 4u) * 12u = 11(2u + -6)

Reorder the terms for easier multiplication:
8 * 12u(-1 + 4u) = 11(2u + -6)

Multiply 8 * 12
96u(-1 + 4u) = 11(2u + -6)
(-1 * 96u + 4u * 96u) = 11(2u + -6)
(-96u + 384u2) = 11(2u + -6)

Reorder the terms:
-96u + 384u2 = 11(-6 + 2u)
-96u + 384u2 = (-6 * 11 + 2u * 11)
-96u + 384u2 = (-66 + 22u)

Solving
-96u + 384u2 = -66 + 22u

Solving for variable 'u'.

Reorder the terms:
66 + -96u + -22u + 384u2 = -66 + 22u + 66 + -22u

Combine like terms: -96u + -22u = -118u
66 + -118u + 384u2 = -66 + 22u + 66 + -22u

Reorder the terms:
66 + -118u + 384u2 = -66 + 66 + 22u + -22u

Combine like terms: -66 + 66 = 0
66 + -118u + 384u2 = 0 + 22u + -22u
66 + -118u + 384u2 = 22u + -22u

Combine like terms: 22u + -22u = 0
66 + -118u + 384u2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(33 + -59u + 192u2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(33 + -59u + 192u2)' equal to zero and attempt to solve: Simplifying 33 + -59u + 192u2 = 0 Solving 33 + -59u + 192u2 = 0 Begin completing the square. Divide all terms by 192 the coefficient of the squared term: Divide each side by '192'. 0.171875 + -0.3072916667u + u2 = 0 Move the constant term to the right: Add '-0.171875' to each side of the equation. 0.171875 + -0.3072916667u + -0.171875 + u2 = 0 + -0.171875 Reorder the terms: 0.171875 + -0.171875 + -0.3072916667u + u2 = 0 + -0.171875 Combine like terms: 0.171875 + -0.171875 = 0.000000 0.000000 + -0.3072916667u + u2 = 0 + -0.171875 -0.3072916667u + u2 = 0 + -0.171875 Combine like terms: 0 + -0.171875 = -0.171875 -0.3072916667u + u2 = -0.171875 The u term is -0.3072916667u. Take half its coefficient (-0.1536458334). Square it (0.02360704212) and add it to both sides. Add '0.02360704212' to each side of the equation. -0.3072916667u + 0.02360704212 + u2 = -0.171875 + 0.02360704212 Reorder the terms: 0.02360704212 + -0.3072916667u + u2 = -0.171875 + 0.02360704212 Combine like terms: -0.171875 + 0.02360704212 = -0.14826795788 0.02360704212 + -0.3072916667u + u2 = -0.14826795788 Factor a perfect square on the left side: (u + -0.1536458334)(u + -0.1536458334) = -0.14826795788 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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