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Simplifying x7 + 18x4 + 80x = 0 Reorder the terms: 80x + 18x4 + x7 = 0 Solving 80x + 18x4 + x7 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(80 + 18x3 + x6) = 0 Factor a trinomial. x((10 + x3)(8 + x3)) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(10 + x3)' equal to zero and attempt to solve: Simplifying 10 + x3 = 0 Solving 10 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x3 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x3 = 0 + -10 x3 = 0 + -10 Combine like terms: 0 + -10 = -10 x3 = -10 Simplifying x3 = -10 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 '(8 + x3)' equal to zero and attempt to solve: Simplifying 8 + x3 = 0 Solving 8 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x3 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x3 = 0 + -8 x3 = 0 + -8 Combine like terms: 0 + -8 = -8 x3 = -8 Simplifying x3 = -8 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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