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Simplifying 4x + -5x2 + 9 + -2x + 10x2 = 0 Reorder the terms: 9 + 4x + -2x + -5x2 + 10x2 = 0 Combine like terms: 4x + -2x = 2x 9 + 2x + -5x2 + 10x2 = 0 Combine like terms: -5x2 + 10x2 = 5x2 9 + 2x + 5x2 = 0 Solving 9 + 2x + 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'. 1.8 + 0.4x + x2 = 0 Move the constant term to the right: Add '-1.8' to each side of the equation. 1.8 + 0.4x + -1.8 + x2 = 0 + -1.8 Reorder the terms: 1.8 + -1.8 + 0.4x + x2 = 0 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + 0.4x + x2 = 0 + -1.8 0.4x + x2 = 0 + -1.8 Combine like terms: 0 + -1.8 = -1.8 0.4x + x2 = -1.8 The x term is 0.4x. Take half its coefficient (0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. 0.4x + 0.04 + x2 = -1.8 + 0.04 Reorder the terms: 0.04 + 0.4x + x2 = -1.8 + 0.04 Combine like terms: -1.8 + 0.04 = -1.76 0.04 + 0.4x + x2 = -1.76 Factor a perfect square on the left side: (x + 0.2)(x + 0.2) = -1.76 Can't calculate square root of the right side. The solution to this equation could not be determined.
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