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Simplifying 9x2 + 90x + 226 = 0 Reorder the terms: 226 + 90x + 9x2 = 0 Solving 226 + 90x + 9x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 25.11111111 + 10x + x2 = 0 Move the constant term to the right: Add '-25.11111111' to each side of the equation. 25.11111111 + 10x + -25.11111111 + x2 = 0 + -25.11111111 Reorder the terms: 25.11111111 + -25.11111111 + 10x + x2 = 0 + -25.11111111 Combine like terms: 25.11111111 + -25.11111111 = 0.00000000 0.00000000 + 10x + x2 = 0 + -25.11111111 10x + x2 = 0 + -25.11111111 Combine like terms: 0 + -25.11111111 = -25.11111111 10x + x2 = -25.11111111 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 = -25.11111111 + 25 Reorder the terms: 25 + 10x + x2 = -25.11111111 + 25 Combine like terms: -25.11111111 + 25 = -0.11111111 25 + 10x + x2 = -0.11111111 Factor a perfect square on the left side: (x + 5)(x + 5) = -0.11111111 Can't calculate square root of the right side. The solution to this equation could not be determined.
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