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Simplifying w6 + -12w5 + 46w4 = 0 Reorder the terms: 46w4 + -12w5 + w6 = 0 Solving 46w4 + -12w5 + w6 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w4'. w4(46 + -12w + 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 '(46 + -12w + w2)' equal to zero and attempt to solve: Simplifying 46 + -12w + w2 = 0 Solving 46 + -12w + w2 = 0 Begin completing the square. Move the constant term to the right: Add '-46' to each side of the equation. 46 + -12w + -46 + w2 = 0 + -46 Reorder the terms: 46 + -46 + -12w + w2 = 0 + -46 Combine like terms: 46 + -46 = 0 0 + -12w + w2 = 0 + -46 -12w + w2 = 0 + -46 Combine like terms: 0 + -46 = -46 -12w + w2 = -46 The w term is -12w. Take half its coefficient (-6). Square it (36) and add it to both sides. Add '36' to each side of the equation. -12w + 36 + w2 = -46 + 36 Reorder the terms: 36 + -12w + w2 = -46 + 36 Combine like terms: -46 + 36 = -10 36 + -12w + w2 = -10 Factor a perfect square on the left side: (w + -6)(w + -6) = -10 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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