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Simplifying 12u7 + 16u6 + -28u5 = 0 Reorder the terms: -28u5 + 16u6 + 12u7 = 0 Solving -28u5 + 16u6 + 12u7 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '4u5'. 4u5(-7 + 4u + 3u2) = 0 Factor a trinomial. 4u5((-7 + -3u)(1 + -1u)) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'u5' equal to zero and attempt to solve: Simplifying u5 = 0 Solving u5 = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u5 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-7 + -3u)' equal to zero and attempt to solve: Simplifying -7 + -3u = 0 Solving -7 + -3u = 0 Move all terms containing u to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -3u = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3u = 0 + 7 -3u = 0 + 7 Combine like terms: 0 + 7 = 7 -3u = 7 Divide each side by '-3'. u = -2.333333333 Simplifying u = -2.333333333Subproblem 3
Set the factor '(1 + -1u)' equal to zero and attempt to solve: Simplifying 1 + -1u = 0 Solving 1 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1u = 0 + -1 -1u = 0 + -1 Combine like terms: 0 + -1 = -1 -1u = -1 Divide each side by '-1'. u = 1 Simplifying u = 1Solution
u = {-2.333333333, 1}
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