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Simplifying 8x2 + -9x = 3x + -5 Reorder the terms: -9x + 8x2 = 3x + -5 Reorder the terms: -9x + 8x2 = -5 + 3x Solving -9x + 8x2 = -5 + 3x Solving for variable 'x'. Reorder the terms: 5 + -9x + -3x + 8x2 = -5 + 3x + 5 + -3x Combine like terms: -9x + -3x = -12x 5 + -12x + 8x2 = -5 + 3x + 5 + -3x Reorder the terms: 5 + -12x + 8x2 = -5 + 5 + 3x + -3x Combine like terms: -5 + 5 = 0 5 + -12x + 8x2 = 0 + 3x + -3x 5 + -12x + 8x2 = 3x + -3x Combine like terms: 3x + -3x = 0 5 + -12x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.625 + -1.5x + x2 = 0 Move the constant term to the right: Add '-0.625' to each side of the equation. 0.625 + -1.5x + -0.625 + x2 = 0 + -0.625 Reorder the terms: 0.625 + -0.625 + -1.5x + x2 = 0 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + -1.5x + x2 = 0 + -0.625 -1.5x + x2 = 0 + -0.625 Combine like terms: 0 + -0.625 = -0.625 -1.5x + x2 = -0.625 The x term is -1.5x. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5x + 0.5625 + x2 = -0.625 + 0.5625 Reorder the terms: 0.5625 + -1.5x + x2 = -0.625 + 0.5625 Combine like terms: -0.625 + 0.5625 = -0.0625 0.5625 + -1.5x + x2 = -0.0625 Factor a perfect square on the left side: (x + -0.75)(x + -0.75) = -0.0625 Can't calculate square root of the right side. The solution to this equation could not be determined.
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