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Simplifying 42qu3 + 12qu2 + 12qu = 0 Reorder the terms: 12qu + 12qu2 + 42qu3 = 0 Solving 12qu + 12qu2 + 42qu3 = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '6qu'. 6qu(2 + 2u + 7u2) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'qu' equal to zero and attempt to solve: Simplifying qu = 0 Solving qu = 0 Move all terms containing q to the left, all other terms to the right. Simplifying qu = 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 '(2 + 2u + 7u2)' equal to zero and attempt to solve: Simplifying 2 + 2u + 7u2 = 0 Solving 2 + 2u + 7u2 = 0 Move all terms containing q to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 2u + -2 + 7u2 = 0 + -2 Reorder the terms: 2 + -2 + 2u + 7u2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2u + 7u2 = 0 + -2 2u + 7u2 = 0 + -2 Combine like terms: 0 + -2 = -2 2u + 7u2 = -2 Add '-2u' to each side of the equation. 2u + -2u + 7u2 = -2 + -2u Combine like terms: 2u + -2u = 0 0 + 7u2 = -2 + -2u 7u2 = -2 + -2u Add '-7u2' to each side of the equation. 7u2 + -7u2 = -2 + -2u + -7u2 Combine like terms: 7u2 + -7u2 = 0 0 = -2 + -2u + -7u2 Simplifying 0 = -2 + -2u + -7u2 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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