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Simplifying 5x2 + -8x + 43 = 0 Reorder the terms: 43 + -8x + 5x2 = 0 Solving 43 + -8x + 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'. 8.6 + -1.6x + x2 = 0 Move the constant term to the right: Add '-8.6' to each side of the equation. 8.6 + -1.6x + -8.6 + x2 = 0 + -8.6 Reorder the terms: 8.6 + -8.6 + -1.6x + x2 = 0 + -8.6 Combine like terms: 8.6 + -8.6 = 0.0 0.0 + -1.6x + x2 = 0 + -8.6 -1.6x + x2 = 0 + -8.6 Combine like terms: 0 + -8.6 = -8.6 -1.6x + x2 = -8.6 The x term is -1.6x. Take half its coefficient (-0.8). Square it (0.64) and add it to both sides. Add '0.64' to each side of the equation. -1.6x + 0.64 + x2 = -8.6 + 0.64 Reorder the terms: 0.64 + -1.6x + x2 = -8.6 + 0.64 Combine like terms: -8.6 + 0.64 = -7.96 0.64 + -1.6x + x2 = -7.96 Factor a perfect square on the left side: (x + -0.8)(x + -0.8) = -7.96 Can't calculate square root of the right side. The solution to this equation could not be determined.
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