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Simplifying x2 + 19x + 99 = 0 Reorder the terms: 99 + 19x + x2 = 0 Solving 99 + 19x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-99' to each side of the equation. 99 + 19x + -99 + x2 = 0 + -99 Reorder the terms: 99 + -99 + 19x + x2 = 0 + -99 Combine like terms: 99 + -99 = 0 0 + 19x + x2 = 0 + -99 19x + x2 = 0 + -99 Combine like terms: 0 + -99 = -99 19x + x2 = -99 The x term is 19x. Take half its coefficient (9.5). Square it (90.25) and add it to both sides. Add '90.25' to each side of the equation. 19x + 90.25 + x2 = -99 + 90.25 Reorder the terms: 90.25 + 19x + x2 = -99 + 90.25 Combine like terms: -99 + 90.25 = -8.75 90.25 + 19x + x2 = -8.75 Factor a perfect square on the left side: (x + 9.5)(x + 9.5) = -8.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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