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Simplifying 2x2 + 10x + 36 = -5x Reorder the terms: 36 + 10x + 2x2 = -5x Solving 36 + 10x + 2x2 = -5x Solving for variable 'x'. Reorder the terms: 36 + 10x + 5x + 2x2 = -5x + 5x Combine like terms: 10x + 5x = 15x 36 + 15x + 2x2 = -5x + 5x Combine like terms: -5x + 5x = 0 36 + 15x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 18 + 7.5x + x2 = 0 Move the constant term to the right: Add '-18' to each side of the equation. 18 + 7.5x + -18 + x2 = 0 + -18 Reorder the terms: 18 + -18 + 7.5x + x2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 7.5x + x2 = 0 + -18 7.5x + x2 = 0 + -18 Combine like terms: 0 + -18 = -18 7.5x + x2 = -18 The x term is 7.5x. Take half its coefficient (3.75). Square it (14.0625) and add it to both sides. Add '14.0625' to each side of the equation. 7.5x + 14.0625 + x2 = -18 + 14.0625 Reorder the terms: 14.0625 + 7.5x + x2 = -18 + 14.0625 Combine like terms: -18 + 14.0625 = -3.9375 14.0625 + 7.5x + x2 = -3.9375 Factor a perfect square on the left side: (x + 3.75)(x + 3.75) = -3.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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