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Simplifying x2 + -3x + 7 = 2x + -3 Reorder the terms: 7 + -3x + x2 = 2x + -3 Reorder the terms: 7 + -3x + x2 = -3 + 2x Solving 7 + -3x + x2 = -3 + 2x Solving for variable 'x'. Reorder the terms: 7 + 3 + -3x + -2x + x2 = -3 + 2x + 3 + -2x Combine like terms: 7 + 3 = 10 10 + -3x + -2x + x2 = -3 + 2x + 3 + -2x Combine like terms: -3x + -2x = -5x 10 + -5x + x2 = -3 + 2x + 3 + -2x Reorder the terms: 10 + -5x + x2 = -3 + 3 + 2x + -2x Combine like terms: -3 + 3 = 0 10 + -5x + x2 = 0 + 2x + -2x 10 + -5x + x2 = 2x + -2x Combine like terms: 2x + -2x = 0 10 + -5x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + -5x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + -5x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -5x + x2 = 0 + -10 -5x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 -5x + x2 = -10 The x term is -5x. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5x + 6.25 + x2 = -10 + 6.25 Reorder the terms: 6.25 + -5x + x2 = -10 + 6.25 Combine like terms: -10 + 6.25 = -3.75 6.25 + -5x + x2 = -3.75 Factor a perfect square on the left side: (x + -2.5)(x + -2.5) = -3.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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