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Simplifying x2 = -2x + -19 Reorder the terms: x2 = -19 + -2x Solving x2 = -19 + -2x Solving for variable 'x'. Reorder the terms: 19 + 2x + x2 = -19 + -2x + 19 + 2x Reorder the terms: 19 + 2x + x2 = -19 + 19 + -2x + 2x Combine like terms: -19 + 19 = 0 19 + 2x + x2 = 0 + -2x + 2x 19 + 2x + x2 = -2x + 2x Combine like terms: -2x + 2x = 0 19 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-19' to each side of the equation. 19 + 2x + -19 + x2 = 0 + -19 Reorder the terms: 19 + -19 + 2x + x2 = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 2x + x2 = 0 + -19 2x + x2 = 0 + -19 Combine like terms: 0 + -19 = -19 2x + x2 = -19 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 = -19 + 1 Reorder the terms: 1 + 2x + x2 = -19 + 1 Combine like terms: -19 + 1 = -18 1 + 2x + x2 = -18 Factor a perfect square on the left side: (x + 1)(x + 1) = -18 Can't calculate square root of the right side. The solution to this equation could not be determined.
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