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Simplifying 6x9n + -30x5n + -300xn = 0 Reorder the terms: -300nx + -30nx5 + 6nx9 = 0 Solving -300nx + -30nx5 + 6nx9 = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '6nx'. 6nx(-50 + -5x4 + x8) = 0 Factor a trinomial. 6nx((-5 + -1x4)(10 + -1x4)) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'nx' equal to zero and attempt to solve: Simplifying nx = 0 Solving nx = 0 Move all terms containing n to the left, all other terms to the right. Simplifying nx = 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 '(-5 + -1x4)' equal to zero and attempt to solve: Simplifying -5 + -1x4 = 0 Solving -5 + -1x4 = 0 Move all terms containing n to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1x4 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x4 = 0 + 5 -1x4 = 0 + 5 Combine like terms: 0 + 5 = 5 -1x4 = 5 Add 'x4' to each side of the equation. -1x4 + x4 = 5 + x4 Combine like terms: -1x4 + x4 = 0 0 = 5 + x4 Simplifying 0 = 5 + x4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(10 + -1x4)' equal to zero and attempt to solve: Simplifying 10 + -1x4 = 0 Solving 10 + -1x4 = 0 Move all terms containing n to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x4 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x4 = 0 + -10 -1x4 = 0 + -10 Combine like terms: 0 + -10 = -10 -1x4 = -10 Add 'x4' to each side of the equation. -1x4 + x4 = -10 + x4 Combine like terms: -1x4 + x4 = 0 0 = -10 + x4 Simplifying 0 = -10 + x4 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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