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Simplifying w6 + -5w5 + 17w4 = 0 Reorder the terms: 17w4 + -5w5 + w6 = 0 Solving 17w4 + -5w5 + w6 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w4'. w4(17 + -5w + w2) = 0Subproblem 1
Set the factor 'w4' equal to zero and attempt to solve: Simplifying w4 = 0 Solving w4 = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w4 = 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 '(17 + -5w + w2)' equal to zero and attempt to solve: Simplifying 17 + -5w + w2 = 0 Solving 17 + -5w + w2 = 0 Begin completing the square. Move the constant term to the right: Add '-17' to each side of the equation. 17 + -5w + -17 + w2 = 0 + -17 Reorder the terms: 17 + -17 + -5w + w2 = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -5w + w2 = 0 + -17 -5w + w2 = 0 + -17 Combine like terms: 0 + -17 = -17 -5w + w2 = -17 The w term is -5w. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5w + 6.25 + w2 = -17 + 6.25 Reorder the terms: 6.25 + -5w + w2 = -17 + 6.25 Combine like terms: -17 + 6.25 = -10.75 6.25 + -5w + w2 = -10.75 Factor a perfect square on the left side: (w + -2.5)(w + -2.5) = -10.75 Can't calculate square root of the right side. 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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