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Simplifying 4x2 = 11x + -20 Reorder the terms: 4x2 = -20 + 11x Solving 4x2 = -20 + 11x Solving for variable 'x'. Reorder the terms: 20 + -11x + 4x2 = -20 + 11x + 20 + -11x Reorder the terms: 20 + -11x + 4x2 = -20 + 20 + 11x + -11x Combine like terms: -20 + 20 = 0 20 + -11x + 4x2 = 0 + 11x + -11x 20 + -11x + 4x2 = 11x + -11x Combine like terms: 11x + -11x = 0 20 + -11x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 5 + -2.75x + x2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + -2.75x + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + -2.75x + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2.75x + x2 = 0 + -5 -2.75x + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -2.75x + x2 = -5 The x term is -2.75x. Take half its coefficient (-1.375). Square it (1.890625) and add it to both sides. Add '1.890625' to each side of the equation. -2.75x + 1.890625 + x2 = -5 + 1.890625 Reorder the terms: 1.890625 + -2.75x + x2 = -5 + 1.890625 Combine like terms: -5 + 1.890625 = -3.109375 1.890625 + -2.75x + x2 = -3.109375 Factor a perfect square on the left side: (x + -1.375)(x + -1.375) = -3.109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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