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Simplifying 2w6 + -16w3 + 32 = 0 Reorder the terms: 32 + -16w3 + 2w6 = 0 Solving 32 + -16w3 + 2w6 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '2'. 2(16 + -8w3 + w6) = 0 Factor a trinomial. 2((4 + -1w3)(4 + -1w3)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + -1w3)' equal to zero and attempt to solve: Simplifying 4 + -1w3 = 0 Solving 4 + -1w3 = 0 Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1w3 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1w3 = 0 + -4 -1w3 = 0 + -4 Combine like terms: 0 + -4 = -4 -1w3 = -4 Divide each side by '-1'. w3 = 4 Simplifying w3 = 4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(4 + -1w3)' equal to zero and attempt to solve: Simplifying 4 + -1w3 = 0 Solving 4 + -1w3 = 0 Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1w3 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1w3 = 0 + -4 -1w3 = 0 + -4 Combine like terms: 0 + -4 = -4 -1w3 = -4 Divide each side by '-1'. w3 = 4 Simplifying w3 = 4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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