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Simplifying (x + -10)(x + -10) = -121 Reorder the terms: (-10 + x)(x + -10) = -121 Reorder the terms: (-10 + x)(-10 + x) = -121 Multiply (-10 + x) * (-10 + x) (-10(-10 + x) + x(-10 + x)) = -121 ((-10 * -10 + x * -10) + x(-10 + x)) = -121 ((100 + -10x) + x(-10 + x)) = -121 (100 + -10x + (-10 * x + x * x)) = -121 (100 + -10x + (-10x + x2)) = -121 Combine like terms: -10x + -10x = -20x (100 + -20x + x2) = -121 Solving 100 + -20x + x2 = -121 Solving for variable 'x'. Reorder the terms: 100 + 121 + -20x + x2 = -121 + 121 Combine like terms: 100 + 121 = 221 221 + -20x + x2 = -121 + 121 Combine like terms: -121 + 121 = 0 221 + -20x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-221' to each side of the equation. 221 + -20x + -221 + x2 = 0 + -221 Reorder the terms: 221 + -221 + -20x + x2 = 0 + -221 Combine like terms: 221 + -221 = 0 0 + -20x + x2 = 0 + -221 -20x + x2 = 0 + -221 Combine like terms: 0 + -221 = -221 -20x + x2 = -221 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 = -221 + 100 Reorder the terms: 100 + -20x + x2 = -221 + 100 Combine like terms: -221 + 100 = -121 100 + -20x + x2 = -121 Factor a perfect square on the left side: (x + -10)(x + -10) = -121 Can't calculate square root of the right side. The solution to this equation could not be determined.
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