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Simplifying 16x2 + 14x + 9 = 0 Reorder the terms: 9 + 14x + 16x2 = 0 Solving 9 + 14x + 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'. 0.5625 + 0.875x + x2 = 0 Move the constant term to the right: Add '-0.5625' to each side of the equation. 0.5625 + 0.875x + -0.5625 + x2 = 0 + -0.5625 Reorder the terms: 0.5625 + -0.5625 + 0.875x + x2 = 0 + -0.5625 Combine like terms: 0.5625 + -0.5625 = 0.0000 0.0000 + 0.875x + x2 = 0 + -0.5625 0.875x + x2 = 0 + -0.5625 Combine like terms: 0 + -0.5625 = -0.5625 0.875x + x2 = -0.5625 The x term is 0.875x. Take half its coefficient (0.4375). Square it (0.19140625) and add it to both sides. Add '0.19140625' to each side of the equation. 0.875x + 0.19140625 + x2 = -0.5625 + 0.19140625 Reorder the terms: 0.19140625 + 0.875x + x2 = -0.5625 + 0.19140625 Combine like terms: -0.5625 + 0.19140625 = -0.37109375 0.19140625 + 0.875x + x2 = -0.37109375 Factor a perfect square on the left side: (x + 0.4375)(x + 0.4375) = -0.37109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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