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Simplifying 8w3 + w6 + -65 = 0 Reorder the terms: -65 + 8w3 + w6 = 0 Solving -65 + 8w3 + w6 = 0 Solving for variable 'w'. Factor a trinomial. (-13 + -1w3)(5 + -1w3) = 0Subproblem 1
Set the factor '(-13 + -1w3)' equal to zero and attempt to solve: Simplifying -13 + -1w3 = 0 Solving -13 + -1w3 = 0 Move all terms containing w to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -1w3 = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1w3 = 0 + 13 -1w3 = 0 + 13 Combine like terms: 0 + 13 = 13 -1w3 = 13 Divide each side by '-1'. w3 = -13 Simplifying w3 = -13 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 '(5 + -1w3)' equal to zero and attempt to solve: Simplifying 5 + -1w3 = 0 Solving 5 + -1w3 = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1w3 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1w3 = 0 + -5 -1w3 = 0 + -5 Combine like terms: 0 + -5 = -5 -1w3 = -5 Divide each side by '-1'. w3 = 5 Simplifying w3 = 5 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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