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Simplifying 0 = x4 + -1x3 + 4x2 + -4x Reorder the terms: 0 = -4x + 4x2 + -1x3 + x4 Solving 0 = -4x + 4x2 + -1x3 + x4 Solving for variable 'x'. Remove the zero: 4x + -4x2 + x3 + -1x4 = -4x + 4x2 + -1x3 + x4 + 4x + -4x2 + x3 + -1x4 Reorder the terms: 4x + -4x2 + x3 + -1x4 = -4x + 4x + 4x2 + -4x2 + -1x3 + x3 + x4 + -1x4 Combine like terms: -4x + 4x = 0 4x + -4x2 + x3 + -1x4 = 0 + 4x2 + -4x2 + -1x3 + x3 + x4 + -1x4 4x + -4x2 + x3 + -1x4 = 4x2 + -4x2 + -1x3 + x3 + x4 + -1x4 Combine like terms: 4x2 + -4x2 = 0 4x + -4x2 + x3 + -1x4 = 0 + -1x3 + x3 + x4 + -1x4 4x + -4x2 + x3 + -1x4 = -1x3 + x3 + x4 + -1x4 Combine like terms: -1x3 + x3 = 0 4x + -4x2 + x3 + -1x4 = 0 + x4 + -1x4 4x + -4x2 + x3 + -1x4 = x4 + -1x4 Combine like terms: x4 + -1x4 = 0 4x + -4x2 + x3 + -1x4 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(4 + -4x + x2 + -1x3) = 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 '(4 + -4x + x2 + -1x3)' equal to zero and attempt to solve: Simplifying 4 + -4x + x2 + -1x3 = 0 Solving 4 + -4x + x2 + -1x3 = 0 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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