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Simplifying 7u6 + -32u5 + -15u4 = 0 Reorder the terms: -15u4 + -32u5 + 7u6 = 0 Solving -15u4 + -32u5 + 7u6 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), 'u4'. u4(-15 + -32u + 7u2) = 0 Factor a trinomial. u4((-3 + -7u)(5 + -1u)) = 0Subproblem 1
Set the factor 'u4' equal to zero and attempt to solve: Simplifying u4 = 0 Solving u4 = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u4 = 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 '(-3 + -7u)' equal to zero and attempt to solve: Simplifying -3 + -7u = 0 Solving -3 + -7u = 0 Move all terms containing u to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -7u = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -7u = 0 + 3 -7u = 0 + 3 Combine like terms: 0 + 3 = 3 -7u = 3 Divide each side by '-7'. u = -0.4285714286 Simplifying u = -0.4285714286Subproblem 3
Set the factor '(5 + -1u)' equal to zero and attempt to solve: Simplifying 5 + -1u = 0 Solving 5 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1u = 0 + -5 -1u = 0 + -5 Combine like terms: 0 + -5 = -5 -1u = -5 Divide each side by '-1'. u = 5 Simplifying u = 5Solution
u = {-0.4285714286, 5}
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