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Simplifying 3x2 + -2x + 9 = 2x2 + -3x + -1 Reorder the terms: 9 + -2x + 3x2 = 2x2 + -3x + -1 Reorder the terms: 9 + -2x + 3x2 = -1 + -3x + 2x2 Solving 9 + -2x + 3x2 = -1 + -3x + 2x2 Solving for variable 'x'. Reorder the terms: 9 + 1 + -2x + 3x + 3x2 + -2x2 = -1 + -3x + 2x2 + 1 + 3x + -2x2 Combine like terms: 9 + 1 = 10 10 + -2x + 3x + 3x2 + -2x2 = -1 + -3x + 2x2 + 1 + 3x + -2x2 Combine like terms: -2x + 3x = 1x 10 + 1x + 3x2 + -2x2 = -1 + -3x + 2x2 + 1 + 3x + -2x2 Combine like terms: 3x2 + -2x2 = 1x2 10 + 1x + 1x2 = -1 + -3x + 2x2 + 1 + 3x + -2x2 Reorder the terms: 10 + 1x + 1x2 = -1 + 1 + -3x + 3x + 2x2 + -2x2 Combine like terms: -1 + 1 = 0 10 + 1x + 1x2 = 0 + -3x + 3x + 2x2 + -2x2 10 + 1x + 1x2 = -3x + 3x + 2x2 + -2x2 Combine like terms: -3x + 3x = 0 10 + 1x + 1x2 = 0 + 2x2 + -2x2 10 + 1x + 1x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 10 + 1x + 1x2 = 0 Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + 1x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + 1x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 1x + x2 = 0 + -10 1x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 1x + x2 = -10 The x term is 1x. 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. x + 0.25 + x2 = -10 + 0.25 Reorder the terms: 0.25 + x + x2 = -10 + 0.25 Combine like terms: -10 + 0.25 = -9.75 0.25 + x + x2 = -9.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -9.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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