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Simplifying x2 + 137 = -18x + -8 Reorder the terms: 137 + x2 = -18x + -8 Reorder the terms: 137 + x2 = -8 + -18x Solving 137 + x2 = -8 + -18x Solving for variable 'x'. Reorder the terms: 137 + 8 + 18x + x2 = -8 + -18x + 8 + 18x Combine like terms: 137 + 8 = 145 145 + 18x + x2 = -8 + -18x + 8 + 18x Reorder the terms: 145 + 18x + x2 = -8 + 8 + -18x + 18x Combine like terms: -8 + 8 = 0 145 + 18x + x2 = 0 + -18x + 18x 145 + 18x + x2 = -18x + 18x Combine like terms: -18x + 18x = 0 145 + 18x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-145' to each side of the equation. 145 + 18x + -145 + x2 = 0 + -145 Reorder the terms: 145 + -145 + 18x + x2 = 0 + -145 Combine like terms: 145 + -145 = 0 0 + 18x + x2 = 0 + -145 18x + x2 = 0 + -145 Combine like terms: 0 + -145 = -145 18x + x2 = -145 The x term is 18x. Take half its coefficient (9). Square it (81) and add it to both sides. Add '81' to each side of the equation. 18x + 81 + x2 = -145 + 81 Reorder the terms: 81 + 18x + x2 = -145 + 81 Combine like terms: -145 + 81 = -64 81 + 18x + x2 = -64 Factor a perfect square on the left side: (x + 9)(x + 9) = -64 Can't calculate square root of the right side. The solution to this equation could not be determined.
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