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Simplifying 2w + 2x(3w) = 0 Remove parenthesis around (3w) 2w + 2x * 3w = 0 Reorder the terms for easier multiplication: 2w + 2 * 3x * w = 0 Multiply 2 * 3 2w + 6x * w = 0 Multiply x * w 2w + 6wx = 0 Solving 2w + 6wx = 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), '2w'. 2w(1 + 3x) = 0 Ignore the factor 2.Subproblem 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 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 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 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Add '-3x' to each side of the equation. 3x + -3x = -1 + -3x Combine like terms: 3x + -3x = 0 0 = -1 + -3x Simplifying 0 = -1 + -3x 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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