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Simplifying 45x4w + -5w = 0 Reorder the terms: -5w + 45wx4 = 0 Solving -5w + 45wx4 = 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), '5w'. 5w(-1 + 9x4) = 0 Factor a difference between two squares. 5w((1 + 3x2)(-1 + 3x2)) = 0 Ignore the factor 5.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 + 3x2)' equal to zero and attempt to solve: Simplifying 1 + 3x2 = 0 Solving 1 + 3x2 = 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 + 3x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x2 = 0 + -1 3x2 = 0 + -1 Combine like terms: 0 + -1 = -1 3x2 = -1 Add '-3x2' to each side of the equation. 3x2 + -3x2 = -1 + -3x2 Combine like terms: 3x2 + -3x2 = 0 0 = -1 + -3x2 Simplifying 0 = -1 + -3x2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-1 + 3x2)' equal to zero and attempt to solve: Simplifying -1 + 3x2 = 0 Solving -1 + 3x2 = 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 + 3x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3x2 = 0 + 1 3x2 = 0 + 1 Combine like terms: 0 + 1 = 1 3x2 = 1 Add '-3x2' to each side of the equation. 3x2 + -3x2 = 1 + -3x2 Combine like terms: 3x2 + -3x2 = 0 0 = 1 + -3x2 Simplifying 0 = 1 + -3x2 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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