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Simplifying x2 + -5x + 10 = -9x + 5 Reorder the terms: 10 + -5x + x2 = -9x + 5 Reorder the terms: 10 + -5x + x2 = 5 + -9x Solving 10 + -5x + x2 = 5 + -9x Solving for variable 'x'. Reorder the terms: 10 + -5 + -5x + 9x + x2 = 5 + -9x + -5 + 9x Combine like terms: 10 + -5 = 5 5 + -5x + 9x + x2 = 5 + -9x + -5 + 9x Combine like terms: -5x + 9x = 4x 5 + 4x + x2 = 5 + -9x + -5 + 9x Reorder the terms: 5 + 4x + x2 = 5 + -5 + -9x + 9x Combine like terms: 5 + -5 = 0 5 + 4x + x2 = 0 + -9x + 9x 5 + 4x + x2 = -9x + 9x Combine like terms: -9x + 9x = 0 5 + 4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-5' to each side of the equation. 5 + 4x + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + 4x + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4x + x2 = 0 + -5 4x + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 4x + x2 = -5 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = -5 + 4 Reorder the terms: 4 + 4x + x2 = -5 + 4 Combine like terms: -5 + 4 = -1 4 + 4x + x2 = -1 Factor a perfect square on the left side: (x + 2)(x + 2) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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