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Simplifying 32x2 + -28x + 45 = 0 Reorder the terms: 45 + -28x + 32x2 = 0 Solving 45 + -28x + 32x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 32 the coefficient of the squared term: Divide each side by '32'. 1.40625 + -0.875x + x2 = 0 Move the constant term to the right: Add '-1.40625' to each side of the equation. 1.40625 + -0.875x + -1.40625 + x2 = 0 + -1.40625 Reorder the terms: 1.40625 + -1.40625 + -0.875x + x2 = 0 + -1.40625 Combine like terms: 1.40625 + -1.40625 = 0.00000 0.00000 + -0.875x + x2 = 0 + -1.40625 -0.875x + x2 = 0 + -1.40625 Combine like terms: 0 + -1.40625 = -1.40625 -0.875x + x2 = -1.40625 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 = -1.40625 + 0.19140625 Reorder the terms: 0.19140625 + -0.875x + x2 = -1.40625 + 0.19140625 Combine like terms: -1.40625 + 0.19140625 = -1.21484375 0.19140625 + -0.875x + x2 = -1.21484375 Factor a perfect square on the left side: (x + -0.4375)(x + -0.4375) = -1.21484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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