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Simplifying x2 + 19x + 100 = 0 Reorder the terms: 100 + 19x + x2 = 0 Solving 100 + 19x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-100' to each side of the equation. 100 + 19x + -100 + x2 = 0 + -100 Reorder the terms: 100 + -100 + 19x + x2 = 0 + -100 Combine like terms: 100 + -100 = 0 0 + 19x + x2 = 0 + -100 19x + x2 = 0 + -100 Combine like terms: 0 + -100 = -100 19x + x2 = -100 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 = -100 + 90.25 Reorder the terms: 90.25 + 19x + x2 = -100 + 90.25 Combine like terms: -100 + 90.25 = -9.75 90.25 + 19x + x2 = -9.75 Factor a perfect square on the left side: (x + 9.5)(x + 9.5) = -9.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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