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Simplifying 0 = 4x2 + -11x + 28 Reorder the terms: 0 = 28 + -11x + 4x2 Solving 0 = 28 + -11x + 4x2 Solving for variable 'x'. Combine like terms: 0 + -28 = -28 -28 + 11x + -4x2 = 28 + -11x + 4x2 + -28 + 11x + -4x2 Reorder the terms: -28 + 11x + -4x2 = 28 + -28 + -11x + 11x + 4x2 + -4x2 Combine like terms: 28 + -28 = 0 -28 + 11x + -4x2 = 0 + -11x + 11x + 4x2 + -4x2 -28 + 11x + -4x2 = -11x + 11x + 4x2 + -4x2 Combine like terms: -11x + 11x = 0 -28 + 11x + -4x2 = 0 + 4x2 + -4x2 -28 + 11x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -28 + 11x + -4x2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 7 + -2.75x + x2 = 0 Move the constant term to the right: Add '-7' to each side of the equation. 7 + -2.75x + -7 + x2 = 0 + -7 Reorder the terms: 7 + -7 + -2.75x + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2.75x + x2 = 0 + -7 -2.75x + x2 = 0 + -7 Combine like terms: 0 + -7 = -7 -2.75x + x2 = -7 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 = -7 + 1.890625 Reorder the terms: 1.890625 + -2.75x + x2 = -7 + 1.890625 Combine like terms: -7 + 1.890625 = -5.109375 1.890625 + -2.75x + x2 = -5.109375 Factor a perfect square on the left side: (x + -1.375)(x + -1.375) = -5.109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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