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Simplifying x2 + 20 = 10x + -20 Reorder the terms: 20 + x2 = 10x + -20 Reorder the terms: 20 + x2 = -20 + 10x Solving 20 + x2 = -20 + 10x Solving for variable 'x'. Reorder the terms: 20 + 20 + -10x + x2 = -20 + 10x + 20 + -10x Combine like terms: 20 + 20 = 40 40 + -10x + x2 = -20 + 10x + 20 + -10x Reorder the terms: 40 + -10x + x2 = -20 + 20 + 10x + -10x Combine like terms: -20 + 20 = 0 40 + -10x + x2 = 0 + 10x + -10x 40 + -10x + x2 = 10x + -10x Combine like terms: 10x + -10x = 0 40 + -10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-40' to each side of the equation. 40 + -10x + -40 + x2 = 0 + -40 Reorder the terms: 40 + -40 + -10x + x2 = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -10x + x2 = 0 + -40 -10x + x2 = 0 + -40 Combine like terms: 0 + -40 = -40 -10x + x2 = -40 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 = -40 + 25 Reorder the terms: 25 + -10x + x2 = -40 + 25 Combine like terms: -40 + 25 = -15 25 + -10x + x2 = -15 Factor a perfect square on the left side: (x + -5)(x + -5) = -15 Can't calculate square root of the right side. The solution to this equation could not be determined.
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