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Simplifying 5x2 + -4x + 110 = 0 Reorder the terms: 110 + -4x + 5x2 = 0 Solving 110 + -4x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 22 + -0.8x + x2 = 0 Move the constant term to the right: Add '-22' to each side of the equation. 22 + -0.8x + -22 + x2 = 0 + -22 Reorder the terms: 22 + -22 + -0.8x + x2 = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -0.8x + x2 = 0 + -22 -0.8x + x2 = 0 + -22 Combine like terms: 0 + -22 = -22 -0.8x + x2 = -22 The x term is -0.8x. Take half its coefficient (-0.4). Square it (0.16) and add it to both sides. Add '0.16' to each side of the equation. -0.8x + 0.16 + x2 = -22 + 0.16 Reorder the terms: 0.16 + -0.8x + x2 = -22 + 0.16 Combine like terms: -22 + 0.16 = -21.84 0.16 + -0.8x + x2 = -21.84 Factor a perfect square on the left side: (x + -0.4)(x + -0.4) = -21.84 Can't calculate square root of the right side. The solution to this equation could not be determined.
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