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Simplifying x2 + -15 + 24 = -2x + -18 Reorder the terms: -15 + 24 + x2 = -2x + -18 Combine like terms: -15 + 24 = 9 9 + x2 = -2x + -18 Reorder the terms: 9 + x2 = -18 + -2x Solving 9 + x2 = -18 + -2x Solving for variable 'x'. Reorder the terms: 9 + 18 + 2x + x2 = -18 + -2x + 18 + 2x Combine like terms: 9 + 18 = 27 27 + 2x + x2 = -18 + -2x + 18 + 2x Reorder the terms: 27 + 2x + x2 = -18 + 18 + -2x + 2x Combine like terms: -18 + 18 = 0 27 + 2x + x2 = 0 + -2x + 2x 27 + 2x + x2 = -2x + 2x Combine like terms: -2x + 2x = 0 27 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-27' to each side of the equation. 27 + 2x + -27 + x2 = 0 + -27 Reorder the terms: 27 + -27 + 2x + x2 = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 2x + x2 = 0 + -27 2x + x2 = 0 + -27 Combine like terms: 0 + -27 = -27 2x + x2 = -27 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 = -27 + 1 Reorder the terms: 1 + 2x + x2 = -27 + 1 Combine like terms: -27 + 1 = -26 1 + 2x + x2 = -26 Factor a perfect square on the left side: (x + 1)(x + 1) = -26 Can't calculate square root of the right side. The solution to this equation could not be determined.
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