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Simplifying 5w2 = 10w + -10 Reorder the terms: 5w2 = -10 + 10w Solving 5w2 = -10 + 10w Solving for variable 'w'. Reorder the terms: 10 + -10w + 5w2 = -10 + 10w + 10 + -10w Reorder the terms: 10 + -10w + 5w2 = -10 + 10 + 10w + -10w Combine like terms: -10 + 10 = 0 10 + -10w + 5w2 = 0 + 10w + -10w 10 + -10w + 5w2 = 10w + -10w Combine like terms: 10w + -10w = 0 10 + -10w + 5w2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(2 + -2w + w2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(2 + -2w + w2)' equal to zero and attempt to solve: Simplifying 2 + -2w + w2 = 0 Solving 2 + -2w + w2 = 0 Begin completing the square. Move the constant term to the right: Add '-2' to each side of the equation. 2 + -2w + -2 + w2 = 0 + -2 Reorder the terms: 2 + -2 + -2w + w2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2w + w2 = 0 + -2 -2w + w2 = 0 + -2 Combine like terms: 0 + -2 = -2 -2w + w2 = -2 The w term is -2w. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2w + 1 + w2 = -2 + 1 Reorder the terms: 1 + -2w + w2 = -2 + 1 Combine like terms: -2 + 1 = -1 1 + -2w + w2 = -1 Factor a perfect square on the left side: (w + -1)(w + -1) = -1 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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