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Simplifying -3w2 + 3w + -168 = 0 Reorder the terms: -168 + 3w + -3w2 = 0 Solving -168 + 3w + -3w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '3'. 3(-56 + w + -1w2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-56 + w + -1w2)' equal to zero and attempt to solve: Simplifying -56 + w + -1w2 = 0 Solving -56 + w + -1w2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 56 + -1w + w2 = 0 Move the constant term to the right: Add '-56' to each side of the equation. 56 + -1w + -56 + w2 = 0 + -56 Reorder the terms: 56 + -56 + -1w + w2 = 0 + -56 Combine like terms: 56 + -56 = 0 0 + -1w + w2 = 0 + -56 -1w + w2 = 0 + -56 Combine like terms: 0 + -56 = -56 -1w + w2 = -56 The w term is w. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1w + 0.25 + w2 = -56 + 0.25 Reorder the terms: 0.25 + -1w + w2 = -56 + 0.25 Combine like terms: -56 + 0.25 = -55.75 0.25 + -1w + w2 = -55.75 Factor a perfect square on the left side: (w + 0.5)(w + 0.5) = -55.75 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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