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Simplifying 8x2 + -48x + 75 = 0 Reorder the terms: 75 + -48x + 8x2 = 0 Solving 75 + -48x + 8x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 9.375 + -6x + x2 = 0 Move the constant term to the right: Add '-9.375' to each side of the equation. 9.375 + -6x + -9.375 + x2 = 0 + -9.375 Reorder the terms: 9.375 + -9.375 + -6x + x2 = 0 + -9.375 Combine like terms: 9.375 + -9.375 = 0.000 0.000 + -6x + x2 = 0 + -9.375 -6x + x2 = 0 + -9.375 Combine like terms: 0 + -9.375 = -9.375 -6x + x2 = -9.375 The x term is -6x. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x + 9 + x2 = -9.375 + 9 Reorder the terms: 9 + -6x + x2 = -9.375 + 9 Combine like terms: -9.375 + 9 = -0.375 9 + -6x + x2 = -0.375 Factor a perfect square on the left side: (x + -3)(x + -3) = -0.375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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