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Simplifying 0 = 5x4 + 4x3 + 6x + 1 Reorder the terms: 0 = 1 + 6x + 4x3 + 5x4 Solving 0 = 1 + 6x + 4x3 + 5x4 Solving for variable 'x'. Combine like terms: 0 + -1 = -1 -1 + -6x + -4x3 + -5x4 = 1 + 6x + 4x3 + 5x4 + -1 + -6x + -4x3 + -5x4 Reorder the terms: -1 + -6x + -4x3 + -5x4 = 1 + -1 + 6x + -6x + 4x3 + -4x3 + 5x4 + -5x4 Combine like terms: 1 + -1 = 0 -1 + -6x + -4x3 + -5x4 = 0 + 6x + -6x + 4x3 + -4x3 + 5x4 + -5x4 -1 + -6x + -4x3 + -5x4 = 6x + -6x + 4x3 + -4x3 + 5x4 + -5x4 Combine like terms: 6x + -6x = 0 -1 + -6x + -4x3 + -5x4 = 0 + 4x3 + -4x3 + 5x4 + -5x4 -1 + -6x + -4x3 + -5x4 = 4x3 + -4x3 + 5x4 + -5x4 Combine like terms: 4x3 + -4x3 = 0 -1 + -6x + -4x3 + -5x4 = 0 + 5x4 + -5x4 -1 + -6x + -4x3 + -5x4 = 5x4 + -5x4 Combine like terms: 5x4 + -5x4 = 0 -1 + -6x + -4x3 + -5x4 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(1 + 6x + 4x3 + 5x4) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(1 + 6x + 4x3 + 5x4)' equal to zero and attempt to solve: Simplifying 1 + 6x + 4x3 + 5x4 = 0 Solving 1 + 6x + 4x3 + 5x4 = 0 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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