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Simplifying 25x2 + -28x + 52 = 0 Reorder the terms: 52 + -28x + 25x2 = 0 Solving 52 + -28x + 25x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 2.08 + -1.12x + x2 = 0 Move the constant term to the right: Add '-2.08' to each side of the equation. 2.08 + -1.12x + -2.08 + x2 = 0 + -2.08 Reorder the terms: 2.08 + -2.08 + -1.12x + x2 = 0 + -2.08 Combine like terms: 2.08 + -2.08 = 0.00 0.00 + -1.12x + x2 = 0 + -2.08 -1.12x + x2 = 0 + -2.08 Combine like terms: 0 + -2.08 = -2.08 -1.12x + x2 = -2.08 The x term is -1.12x. Take half its coefficient (-0.56). Square it (0.3136) and add it to both sides. Add '0.3136' to each side of the equation. -1.12x + 0.3136 + x2 = -2.08 + 0.3136 Reorder the terms: 0.3136 + -1.12x + x2 = -2.08 + 0.3136 Combine like terms: -2.08 + 0.3136 = -1.7664 0.3136 + -1.12x + x2 = -1.7664 Factor a perfect square on the left side: (x + -0.56)(x + -0.56) = -1.7664 Can't calculate square root of the right side. The solution to this equation could not be determined.
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