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Simplifying (x + 10)(x + 10) = -91 Reorder the terms: (10 + x)(x + 10) = -91 Reorder the terms: (10 + x)(10 + x) = -91 Multiply (10 + x) * (10 + x) (10(10 + x) + x(10 + x)) = -91 ((10 * 10 + x * 10) + x(10 + x)) = -91 ((100 + 10x) + x(10 + x)) = -91 (100 + 10x + (10 * x + x * x)) = -91 (100 + 10x + (10x + x2)) = -91 Combine like terms: 10x + 10x = 20x (100 + 20x + x2) = -91 Solving 100 + 20x + x2 = -91 Solving for variable 'x'. Reorder the terms: 100 + 91 + 20x + x2 = -91 + 91 Combine like terms: 100 + 91 = 191 191 + 20x + x2 = -91 + 91 Combine like terms: -91 + 91 = 0 191 + 20x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-191' to each side of the equation. 191 + 20x + -191 + x2 = 0 + -191 Reorder the terms: 191 + -191 + 20x + x2 = 0 + -191 Combine like terms: 191 + -191 = 0 0 + 20x + x2 = 0 + -191 20x + x2 = 0 + -191 Combine like terms: 0 + -191 = -191 20x + x2 = -191 The x term is 20x. Take half its coefficient (10). Square it (100) and add it to both sides. Add '100' to each side of the equation. 20x + 100 + x2 = -191 + 100 Reorder the terms: 100 + 20x + x2 = -191 + 100 Combine like terms: -191 + 100 = -91 100 + 20x + x2 = -91 Factor a perfect square on the left side: (x + 10)(x + 10) = -91 Can't calculate square root of the right side. The solution to this equation could not be determined.
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