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Simplifying 5w2 = 3w + -2 Reorder the terms: 5w2 = -2 + 3w Solving 5w2 = -2 + 3w Solving for variable 'w'. Reorder the terms: 2 + -3w + 5w2 = -2 + 3w + 2 + -3w Reorder the terms: 2 + -3w + 5w2 = -2 + 2 + 3w + -3w Combine like terms: -2 + 2 = 0 2 + -3w + 5w2 = 0 + 3w + -3w 2 + -3w + 5w2 = 3w + -3w Combine like terms: 3w + -3w = 0 2 + -3w + 5w2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.4 + -0.6w + w2 = 0 Move the constant term to the right: Add '-0.4' to each side of the equation. 0.4 + -0.6w + -0.4 + w2 = 0 + -0.4 Reorder the terms: 0.4 + -0.4 + -0.6w + w2 = 0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -0.6w + w2 = 0 + -0.4 -0.6w + w2 = 0 + -0.4 Combine like terms: 0 + -0.4 = -0.4 -0.6w + w2 = -0.4 The w term is -0.6w. Take half its coefficient (-0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. -0.6w + 0.09 + w2 = -0.4 + 0.09 Reorder the terms: 0.09 + -0.6w + w2 = -0.4 + 0.09 Combine like terms: -0.4 + 0.09 = -0.31 0.09 + -0.6w + w2 = -0.31 Factor a perfect square on the left side: (w + -0.3)(w + -0.3) = -0.31 Can't calculate square root of the right side. The solution to this equation could not be determined.
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