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Simplifying 0 = 5x2 + -1x + 9 Reorder the terms: 0 = 9 + -1x + 5x2 Solving 0 = 9 + -1x + 5x2 Solving for variable 'x'. Combine like terms: 0 + -9 = -9 -9 + x + -5x2 = 9 + -1x + 5x2 + -9 + x + -5x2 Reorder the terms: -9 + x + -5x2 = 9 + -9 + -1x + x + 5x2 + -5x2 Combine like terms: 9 + -9 = 0 -9 + x + -5x2 = 0 + -1x + x + 5x2 + -5x2 -9 + x + -5x2 = -1x + x + 5x2 + -5x2 Combine like terms: -1x + x = 0 -9 + x + -5x2 = 0 + 5x2 + -5x2 -9 + x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -9 + x + -5x2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 1.8 + -0.2x + x2 = 0 Move the constant term to the right: Add '-1.8' to each side of the equation. 1.8 + -0.2x + -1.8 + x2 = 0 + -1.8 Reorder the terms: 1.8 + -1.8 + -0.2x + x2 = 0 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + -0.2x + x2 = 0 + -1.8 -0.2x + x2 = 0 + -1.8 Combine like terms: 0 + -1.8 = -1.8 -0.2x + x2 = -1.8 The x term is x. 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. -0.2x + 0.25 + x2 = -1.8 + 0.25 Reorder the terms: 0.25 + -0.2x + x2 = -1.8 + 0.25 Combine like terms: -1.8 + 0.25 = -1.55 0.25 + -0.2x + x2 = -1.55 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -1.55 Can't calculate square root of the right side. The solution to this equation could not be determined.
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