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Simplifying 0.5x2 + -8x + 45 = 0 Reorder the terms: 45 + -8x + 0.5x2 = 0 Solving 45 + -8x + 0.5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.5 the coefficient of the squared term: Divide each side by '0.5'. 90 + -16x + x2 = 0 Move the constant term to the right: Add '-90' to each side of the equation. 90 + -16x + -90 + x2 = 0 + -90 Reorder the terms: 90 + -90 + -16x + x2 = 0 + -90 Combine like terms: 90 + -90 = 0 0 + -16x + x2 = 0 + -90 -16x + x2 = 0 + -90 Combine like terms: 0 + -90 = -90 -16x + x2 = -90 The x term is -16x. Take half its coefficient (-8). Square it (64) and add it to both sides. Add '64' to each side of the equation. -16x + 64 + x2 = -90 + 64 Reorder the terms: 64 + -16x + x2 = -90 + 64 Combine like terms: -90 + 64 = -26 64 + -16x + x2 = -26 Factor a perfect square on the left side: (x + -8)(x + -8) = -26 Can't calculate square root of the right side. The solution to this equation could not be determined.
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