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Simplifying x2 + -10x + 10 = -20 Reorder the terms: 10 + -10x + x2 = -20 Solving 10 + -10x + x2 = -20 Solving for variable 'x'. Reorder the terms: 10 + 20 + -10x + x2 = -20 + 20 Combine like terms: 10 + 20 = 30 30 + -10x + x2 = -20 + 20 Combine like terms: -20 + 20 = 0 30 + -10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-30' to each side of the equation. 30 + -10x + -30 + x2 = 0 + -30 Reorder the terms: 30 + -30 + -10x + x2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -10x + x2 = 0 + -30 -10x + x2 = 0 + -30 Combine like terms: 0 + -30 = -30 -10x + x2 = -30 The x term is -10x. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10x + 25 + x2 = -30 + 25 Reorder the terms: 25 + -10x + x2 = -30 + 25 Combine like terms: -30 + 25 = -5 25 + -10x + x2 = -5 Factor a perfect square on the left side: (x + -5)(x + -5) = -5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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