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Simplifying 1.5 = -5x2 + 5x Reorder the terms: 1.5 = 5x + -5x2 Solving 1.5 = 5x + -5x2 Solving for variable 'x'. Reorder the terms: 1.5 + -5x + 5x2 = 5x + -5x + -5x2 + 5x2 Combine like terms: 5x + -5x = 0 1.5 + -5x + 5x2 = 0 + -5x2 + 5x2 1.5 + -5x + 5x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 1.5 + -5x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.3 + -1x + x2 = 0 Move the constant term to the right: Add '-0.3' to each side of the equation. 0.3 + -1x + -0.3 + x2 = 0 + -0.3 Reorder the terms: 0.3 + -0.3 + -1x + x2 = 0 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + -1x + x2 = 0 + -0.3 -1x + x2 = 0 + -0.3 Combine like terms: 0 + -0.3 = -0.3 -1x + x2 = -0.3 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -0.3 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -0.3 + 0.25 Combine like terms: -0.3 + 0.25 = -0.05 0.25 + -1x + x2 = -0.05 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -0.05 Can't calculate square root of the right side. The solution to this equation could not be determined.
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