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Simplifying 5w2 + -25w + 70 = 0 Reorder the terms: 70 + -25w + 5w2 = 0 Solving 70 + -25w + 5w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '5'. 5(14 + -5w + w2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(14 + -5w + w2)' equal to zero and attempt to solve: Simplifying 14 + -5w + w2 = 0 Solving 14 + -5w + w2 = 0 Begin completing the square. Move the constant term to the right: Add '-14' to each side of the equation. 14 + -5w + -14 + w2 = 0 + -14 Reorder the terms: 14 + -14 + -5w + w2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -5w + w2 = 0 + -14 -5w + w2 = 0 + -14 Combine like terms: 0 + -14 = -14 -5w + w2 = -14 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 = -14 + 6.25 Reorder the terms: 6.25 + -5w + w2 = -14 + 6.25 Combine like terms: -14 + 6.25 = -7.75 6.25 + -5w + w2 = -7.75 Factor a perfect square on the left side: (w + -2.5)(w + -2.5) = -7.75 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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