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Simplifying 0 = x + 4x4 Solving 0 = x + 4x4 Solving for variable 'x'. Remove the zero: -1x + -4x4 = x + 4x4 + -1x + -4x4 Reorder the terms: -1x + -4x4 = x + -1x + 4x4 + -4x4 Combine like terms: x + -1x = 0 -1x + -4x4 = 0 + 4x4 + -4x4 -1x + -4x4 = 4x4 + -4x4 Combine like terms: 4x4 + -4x4 = 0 -1x + -4x4 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(1 + 4x3) = 0 Ignore the factor -1.Subproblem 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 '(1 + 4x3)' equal to zero and attempt to solve: Simplifying 1 + 4x3 = 0 Solving 1 + 4x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4x3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x3 = 0 + -1 4x3 = 0 + -1 Combine like terms: 0 + -1 = -1 4x3 = -1 Divide each side by '4'. x3 = -0.25 Simplifying x3 = -0.25 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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