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Simplifying 3wx + 2w + -1wx + -1w = 0 Reorder the terms: 2w + -1w + 3wx + -1wx = 0 Combine like terms: 2w + -1w = 1w 1w + 3wx + -1wx = 0 Combine like terms: 3wx + -1wx = 2wx 1w + 2wx = 0 Solving 1w + 2wx = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'w'. w(1 + 2x) = 0Subproblem 1
Set the factor 'w' equal to zero and attempt to solve: Simplifying w = 0 Solving w = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w = 0Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 0 Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Add '-2x' to each side of the equation. 2x + -2x = -1 + -2x Combine like terms: 2x + -2x = 0 0 = -1 + -2x Simplifying 0 = -1 + -2x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
w = {0}
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