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Simplifying x2 + 6x + 90 = 8 Reorder the terms: 90 + 6x + x2 = 8 Solving 90 + 6x + x2 = 8 Solving for variable 'x'. Reorder the terms: 90 + -8 + 6x + x2 = 8 + -8 Combine like terms: 90 + -8 = 82 82 + 6x + x2 = 8 + -8 Combine like terms: 8 + -8 = 0 82 + 6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-82' to each side of the equation. 82 + 6x + -82 + x2 = 0 + -82 Reorder the terms: 82 + -82 + 6x + x2 = 0 + -82 Combine like terms: 82 + -82 = 0 0 + 6x + x2 = 0 + -82 6x + x2 = 0 + -82 Combine like terms: 0 + -82 = -82 6x + x2 = -82 The x term is 6x. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6x + 9 + x2 = -82 + 9 Reorder the terms: 9 + 6x + x2 = -82 + 9 Combine like terms: -82 + 9 = -73 9 + 6x + x2 = -73 Factor a perfect square on the left side: (x + 3)(x + 3) = -73 Can't calculate square root of the right side. The solution to this equation could not be determined.
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