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Simplifying 4x2 + -15x + 20 = 0 Reorder the terms: 20 + -15x + 4x2 = 0 Solving 20 + -15x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 5 + -3.75x + x2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + -3.75x + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + -3.75x + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3.75x + x2 = 0 + -5 -3.75x + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -3.75x + x2 = -5 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 = -5 + 3.515625 Reorder the terms: 3.515625 + -3.75x + x2 = -5 + 3.515625 Combine like terms: -5 + 3.515625 = -1.484375 3.515625 + -3.75x + x2 = -1.484375 Factor a perfect square on the left side: (x + -1.875)(x + -1.875) = -1.484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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