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Simplifying x2 + 10x + 21 = -77 Reorder the terms: 21 + 10x + x2 = -77 Solving 21 + 10x + x2 = -77 Solving for variable 'x'. Reorder the terms: 21 + 77 + 10x + x2 = -77 + 77 Combine like terms: 21 + 77 = 98 98 + 10x + x2 = -77 + 77 Combine like terms: -77 + 77 = 0 98 + 10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-98' to each side of the equation. 98 + 10x + -98 + x2 = 0 + -98 Reorder the terms: 98 + -98 + 10x + x2 = 0 + -98 Combine like terms: 98 + -98 = 0 0 + 10x + x2 = 0 + -98 10x + x2 = 0 + -98 Combine like terms: 0 + -98 = -98 10x + x2 = -98 The x term is 10x. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10x + 25 + x2 = -98 + 25 Reorder the terms: 25 + 10x + x2 = -98 + 25 Combine like terms: -98 + 25 = -73 25 + 10x + x2 = -73 Factor a perfect square on the left side: (x + 5)(x + 5) = -73 Can't calculate square root of the right side. The solution to this equation could not be determined.
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