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Simplifying 5x2 + -38x = -80 Reorder the terms: -38x + 5x2 = -80 Solving -38x + 5x2 = -80 Solving for variable 'x'. Reorder the terms: 80 + -38x + 5x2 = -80 + 80 Combine like terms: -80 + 80 = 0 80 + -38x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 16 + -7.6x + x2 = 0 Move the constant term to the right: Add '-16' to each side of the equation. 16 + -7.6x + -16 + x2 = 0 + -16 Reorder the terms: 16 + -16 + -7.6x + x2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -7.6x + x2 = 0 + -16 -7.6x + x2 = 0 + -16 Combine like terms: 0 + -16 = -16 -7.6x + x2 = -16 The x term is -7.6x. Take half its coefficient (-3.8). Square it (14.44) and add it to both sides. Add '14.44' to each side of the equation. -7.6x + 14.44 + x2 = -16 + 14.44 Reorder the terms: 14.44 + -7.6x + x2 = -16 + 14.44 Combine like terms: -16 + 14.44 = -1.56 14.44 + -7.6x + x2 = -1.56 Factor a perfect square on the left side: (x + -3.8)(x + -3.8) = -1.56 Can't calculate square root of the right side. The solution to this equation could not be determined.
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