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Simplifying factor(3w + -8)(5 + -1w) = 0 Reorder the terms: acfort(-8 + 3w)(5 + -1w) = 0 Multiply (-8 + 3w) * (5 + -1w) acfort(-8(5 + -1w) + 3w * (5 + -1w)) = 0 acfort((5 * -8 + -1w * -8) + 3w * (5 + -1w)) = 0 acfort((-40 + 8w) + 3w * (5 + -1w)) = 0 acfort(-40 + 8w + (5 * 3w + -1w * 3w)) = 0 acfort(-40 + 8w + (15w + -3w2)) = 0 Combine like terms: 8w + 15w = 23w acfort(-40 + 23w + -3w2) = 0 (-40 * acfort + 23w * acfort + -3w2 * acfort) = 0 (-40acfort + 23acfortw + -3acfortw2) = 0 Solving -40acfort + 23acfortw + -3acfortw2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'acfort'. acfort(-40 + 23w + -3w2) = 0 Factor a trinomial. acfort((-5 + w)(8 + -3w)) = 0Subproblem 1
Set the factor 'acfort' equal to zero and attempt to solve: Simplifying acfort = 0 Solving acfort = 0 Move all terms containing a to the left, all other terms to the right. Simplifying acfort = 0 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 + w)' equal to zero and attempt to solve: Simplifying -5 + w = 0 Solving -5 + w = 0 Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + w = 0 + 5 Combine like terms: -5 + 5 = 0 0 + w = 0 + 5 w = 0 + 5 Combine like terms: 0 + 5 = 5 w = 5 Add '-1w' to each side of the equation. w + -1w = 5 + -1w Combine like terms: w + -1w = 0 0 = 5 + -1w Simplifying 0 = 5 + -1w 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 '(8 + -3w)' equal to zero and attempt to solve: Simplifying 8 + -3w = 0 Solving 8 + -3w = 0 Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3w = 0 + -8 -3w = 0 + -8 Combine like terms: 0 + -8 = -8 -3w = -8 Add '3w' to each side of the equation. -3w + 3w = -8 + 3w Combine like terms: -3w + 3w = 0 0 = -8 + 3w Simplifying 0 = -8 + 3w 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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