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Simplifying 8x2 + 24x + 25 = 6 Reorder the terms: 25 + 24x + 8x2 = 6 Solving 25 + 24x + 8x2 = 6 Solving for variable 'x'. Reorder the terms: 25 + -6 + 24x + 8x2 = 6 + -6 Combine like terms: 25 + -6 = 19 19 + 24x + 8x2 = 6 + -6 Combine like terms: 6 + -6 = 0 19 + 24x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 2.375 + 3x + x2 = 0 Move the constant term to the right: Add '-2.375' to each side of the equation. 2.375 + 3x + -2.375 + x2 = 0 + -2.375 Reorder the terms: 2.375 + -2.375 + 3x + x2 = 0 + -2.375 Combine like terms: 2.375 + -2.375 = 0.000 0.000 + 3x + x2 = 0 + -2.375 3x + x2 = 0 + -2.375 Combine like terms: 0 + -2.375 = -2.375 3x + x2 = -2.375 The x term is 3x. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3x + 2.25 + x2 = -2.375 + 2.25 Reorder the terms: 2.25 + 3x + x2 = -2.375 + 2.25 Combine like terms: -2.375 + 2.25 = -0.125 2.25 + 3x + x2 = -0.125 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = -0.125 Can't calculate square root of the right side. The solution to this equation could not be determined.
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