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Simplifying w6 + -2w3 + -48 = 0 Reorder the terms: -48 + -2w3 + w6 = 0 Solving -48 + -2w3 + w6 = 0 Solving for variable 'w'. Factor a trinomial. (-6 + -1w3)(8 + -1w3) = 0Subproblem 1
Set the factor '(-6 + -1w3)' equal to zero and attempt to solve: Simplifying -6 + -1w3 = 0 Solving -6 + -1w3 = 0 Move all terms containing w to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1w3 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1w3 = 0 + 6 -1w3 = 0 + 6 Combine like terms: 0 + 6 = 6 -1w3 = 6 Divide each side by '-1'. w3 = -6 Simplifying w3 = -6 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 '(8 + -1w3)' equal to zero and attempt to solve: Simplifying 8 + -1w3 = 0 Solving 8 + -1w3 = 0 Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1w3 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1w3 = 0 + -8 -1w3 = 0 + -8 Combine like terms: 0 + -8 = -8 -1w3 = -8 Divide each side by '-1'. w3 = 8 Simplifying w3 = 8 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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