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Simplifying 16x2 + -23x + 69 = 0 Reorder the terms: 69 + -23x + 16x2 = 0 Solving 69 + -23x + 16x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 4.3125 + -1.4375x + x2 = 0 Move the constant term to the right: Add '-4.3125' to each side of the equation. 4.3125 + -1.4375x + -4.3125 + x2 = 0 + -4.3125 Reorder the terms: 4.3125 + -4.3125 + -1.4375x + x2 = 0 + -4.3125 Combine like terms: 4.3125 + -4.3125 = 0.0000 0.0000 + -1.4375x + x2 = 0 + -4.3125 -1.4375x + x2 = 0 + -4.3125 Combine like terms: 0 + -4.3125 = -4.3125 -1.4375x + x2 = -4.3125 The x term is -1.4375x. Take half its coefficient (-0.71875). Square it (0.5166015625) and add it to both sides. Add '0.5166015625' to each side of the equation. -1.4375x + 0.5166015625 + x2 = -4.3125 + 0.5166015625 Reorder the terms: 0.5166015625 + -1.4375x + x2 = -4.3125 + 0.5166015625 Combine like terms: -4.3125 + 0.5166015625 = -3.7958984375 0.5166015625 + -1.4375x + x2 = -3.7958984375 Factor a perfect square on the left side: (x + -0.71875)(x + -0.71875) = -3.7958984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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