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Simplifying 37 + 8x = 4x(7 + -1x) 37 + 8x = (7 * 4x + -1x * 4x) 37 + 8x = (28x + -4x2) Solving 37 + 8x = 28x + -4x2 Solving for variable 'x'. Combine like terms: 8x + -28x = -20x 37 + -20x + 4x2 = 28x + -4x2 + -28x + 4x2 Reorder the terms: 37 + -20x + 4x2 = 28x + -28x + -4x2 + 4x2 Combine like terms: 28x + -28x = 0 37 + -20x + 4x2 = 0 + -4x2 + 4x2 37 + -20x + 4x2 = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 37 + -20x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 9.25 + -5x + x2 = 0 Move the constant term to the right: Add '-9.25' to each side of the equation. 9.25 + -5x + -9.25 + x2 = 0 + -9.25 Reorder the terms: 9.25 + -9.25 + -5x + x2 = 0 + -9.25 Combine like terms: 9.25 + -9.25 = 0.00 0.00 + -5x + x2 = 0 + -9.25 -5x + x2 = 0 + -9.25 Combine like terms: 0 + -9.25 = -9.25 -5x + x2 = -9.25 The x term is -5x. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5x + 6.25 + x2 = -9.25 + 6.25 Reorder the terms: 6.25 + -5x + x2 = -9.25 + 6.25 Combine like terms: -9.25 + 6.25 = -3 6.25 + -5x + x2 = -3 Factor a perfect square on the left side: (x + -2.5)(x + -2.5) = -3 Can't calculate square root of the right side. The solution to this equation could not be determined.
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