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Simplifying x2 + 100 = 2x + 19 Reorder the terms: 100 + x2 = 2x + 19 Reorder the terms: 100 + x2 = 19 + 2x Solving 100 + x2 = 19 + 2x Solving for variable 'x'. Reorder the terms: 100 + -19 + -2x + x2 = 19 + 2x + -19 + -2x Combine like terms: 100 + -19 = 81 81 + -2x + x2 = 19 + 2x + -19 + -2x Reorder the terms: 81 + -2x + x2 = 19 + -19 + 2x + -2x Combine like terms: 19 + -19 = 0 81 + -2x + x2 = 0 + 2x + -2x 81 + -2x + x2 = 2x + -2x Combine like terms: 2x + -2x = 0 81 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-81' to each side of the equation. 81 + -2x + -81 + x2 = 0 + -81 Reorder the terms: 81 + -81 + -2x + x2 = 0 + -81 Combine like terms: 81 + -81 = 0 0 + -2x + x2 = 0 + -81 -2x + x2 = 0 + -81 Combine like terms: 0 + -81 = -81 -2x + x2 = -81 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -81 + 1 Reorder the terms: 1 + -2x + x2 = -81 + 1 Combine like terms: -81 + 1 = -80 1 + -2x + x2 = -80 Factor a perfect square on the left side: (x + -1)(x + -1) = -80 Can't calculate square root of the right side. The solution to this equation could not be determined.
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