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Simplifying 2x2 + 8x = -37 Reorder the terms: 8x + 2x2 = -37 Solving 8x + 2x2 = -37 Solving for variable 'x'. Reorder the terms: 37 + 8x + 2x2 = -37 + 37 Combine like terms: -37 + 37 = 0 37 + 8x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 18.5 + 4x + x2 = 0 Move the constant term to the right: Add '-18.5' to each side of the equation. 18.5 + 4x + -18.5 + x2 = 0 + -18.5 Reorder the terms: 18.5 + -18.5 + 4x + x2 = 0 + -18.5 Combine like terms: 18.5 + -18.5 = 0.0 0.0 + 4x + x2 = 0 + -18.5 4x + x2 = 0 + -18.5 Combine like terms: 0 + -18.5 = -18.5 4x + x2 = -18.5 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = -18.5 + 4 Reorder the terms: 4 + 4x + x2 = -18.5 + 4 Combine like terms: -18.5 + 4 = -14.5 4 + 4x + x2 = -14.5 Factor a perfect square on the left side: (x + 2)(x + 2) = -14.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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