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Simplifying 8x2 + -30x + 125 = 0 Reorder the terms: 125 + -30x + 8x2 = 0 Solving 125 + -30x + 8x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 15.625 + -3.75x + x2 = 0 Move the constant term to the right: Add '-15.625' to each side of the equation. 15.625 + -3.75x + -15.625 + x2 = 0 + -15.625 Reorder the terms: 15.625 + -15.625 + -3.75x + x2 = 0 + -15.625 Combine like terms: 15.625 + -15.625 = 0.000 0.000 + -3.75x + x2 = 0 + -15.625 -3.75x + x2 = 0 + -15.625 Combine like terms: 0 + -15.625 = -15.625 -3.75x + x2 = -15.625 The x term is -3.75x. Take half its coefficient (-1.875). Square it (3.515625) and add it to both sides. Add '3.515625' to each side of the equation. -3.75x + 3.515625 + x2 = -15.625 + 3.515625 Reorder the terms: 3.515625 + -3.75x + x2 = -15.625 + 3.515625 Combine like terms: -15.625 + 3.515625 = -12.109375 3.515625 + -3.75x + x2 = -12.109375 Factor a perfect square on the left side: (x + -1.875)(x + -1.875) = -12.109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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