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Simplifying 3w2 + 12w + 30 = 0 Reorder the terms: 30 + 12w + 3w2 = 0 Solving 30 + 12w + 3w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '3'. 3(10 + 4w + w2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(10 + 4w + w2)' equal to zero and attempt to solve: Simplifying 10 + 4w + w2 = 0 Solving 10 + 4w + w2 = 0 Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + 4w + -10 + w2 = 0 + -10 Reorder the terms: 10 + -10 + 4w + w2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 4w + w2 = 0 + -10 4w + w2 = 0 + -10 Combine like terms: 0 + -10 = -10 4w + w2 = -10 The w term is 4w. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4w + 4 + w2 = -10 + 4 Reorder the terms: 4 + 4w + w2 = -10 + 4 Combine like terms: -10 + 4 = -6 4 + 4w + w2 = -6 Factor a perfect square on the left side: (w + 2)(w + 2) = -6 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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