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Simplifying (x + 10)(x + 10) = -25 Reorder the terms: (10 + x)(x + 10) = -25 Reorder the terms: (10 + x)(10 + x) = -25 Multiply (10 + x) * (10 + x) (10(10 + x) + x(10 + x)) = -25 ((10 * 10 + x * 10) + x(10 + x)) = -25 ((100 + 10x) + x(10 + x)) = -25 (100 + 10x + (10 * x + x * x)) = -25 (100 + 10x + (10x + x2)) = -25 Combine like terms: 10x + 10x = 20x (100 + 20x + x2) = -25 Solving 100 + 20x + x2 = -25 Solving for variable 'x'. Reorder the terms: 100 + 25 + 20x + x2 = -25 + 25 Combine like terms: 100 + 25 = 125 125 + 20x + x2 = -25 + 25 Combine like terms: -25 + 25 = 0 125 + 20x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-125' to each side of the equation. 125 + 20x + -125 + x2 = 0 + -125 Reorder the terms: 125 + -125 + 20x + x2 = 0 + -125 Combine like terms: 125 + -125 = 0 0 + 20x + x2 = 0 + -125 20x + x2 = 0 + -125 Combine like terms: 0 + -125 = -125 20x + x2 = -125 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 = -125 + 100 Reorder the terms: 100 + 20x + x2 = -125 + 100 Combine like terms: -125 + 100 = -25 100 + 20x + x2 = -25 Factor a perfect square on the left side: (x + 10)(x + 10) = -25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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