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Simplifying 116 + -43x + 4x2 = 0 Solving 116 + -43x + 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'. 29 + -10.75x + x2 = 0 Move the constant term to the right: Add '-29' to each side of the equation. 29 + -10.75x + -29 + x2 = 0 + -29 Reorder the terms: 29 + -29 + -10.75x + x2 = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -10.75x + x2 = 0 + -29 -10.75x + x2 = 0 + -29 Combine like terms: 0 + -29 = -29 -10.75x + x2 = -29 The x term is -10.75x. Take half its coefficient (-5.375). Square it (28.890625) and add it to both sides. Add '28.890625' to each side of the equation. -10.75x + 28.890625 + x2 = -29 + 28.890625 Reorder the terms: 28.890625 + -10.75x + x2 = -29 + 28.890625 Combine like terms: -29 + 28.890625 = -0.109375 28.890625 + -10.75x + x2 = -0.109375 Factor a perfect square on the left side: (x + -5.375)(x + -5.375) = -0.109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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