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Simplifying 25x2 + -24x + 28 = 0 Reorder the terms: 28 + -24x + 25x2 = 0 Solving 28 + -24x + 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'. 1.12 + -0.96x + x2 = 0 Move the constant term to the right: Add '-1.12' to each side of the equation. 1.12 + -0.96x + -1.12 + x2 = 0 + -1.12 Reorder the terms: 1.12 + -1.12 + -0.96x + x2 = 0 + -1.12 Combine like terms: 1.12 + -1.12 = 0.00 0.00 + -0.96x + x2 = 0 + -1.12 -0.96x + x2 = 0 + -1.12 Combine like terms: 0 + -1.12 = -1.12 -0.96x + x2 = -1.12 The x term is -0.96x. Take half its coefficient (-0.48). Square it (0.2304) and add it to both sides. Add '0.2304' to each side of the equation. -0.96x + 0.2304 + x2 = -1.12 + 0.2304 Reorder the terms: 0.2304 + -0.96x + x2 = -1.12 + 0.2304 Combine like terms: -1.12 + 0.2304 = -0.8896 0.2304 + -0.96x + x2 = -0.8896 Factor a perfect square on the left side: (x + -0.48)(x + -0.48) = -0.8896 Can't calculate square root of the right side. The solution to this equation could not be determined.
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