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Simplifying -5w2 + -13w + -10 = 0 Reorder the terms: -10 + -13w + -5w2 = 0 Solving -10 + -13w + -5w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '-1'. -1(10 + 13w + 5w2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(10 + 13w + 5w2)' equal to zero and attempt to solve: Simplifying 10 + 13w + 5w2 = 0 Solving 10 + 13w + 5w2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 2 + 2.6w + w2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + 2.6w + -2 + w2 = 0 + -2 Reorder the terms: 2 + -2 + 2.6w + w2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2.6w + w2 = 0 + -2 2.6w + w2 = 0 + -2 Combine like terms: 0 + -2 = -2 2.6w + w2 = -2 The w term is 2.6w. Take half its coefficient (1.3). Square it (1.69) and add it to both sides. Add '1.69' to each side of the equation. 2.6w + 1.69 + w2 = -2 + 1.69 Reorder the terms: 1.69 + 2.6w + w2 = -2 + 1.69 Combine like terms: -2 + 1.69 = -0.31 1.69 + 2.6w + w2 = -0.31 Factor a perfect square on the left side: (w + 1.3)(w + 1.3) = -0.31 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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