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Simplifying 8x(x + -3) + 8 = 5x + -22 Reorder the terms: 8x(-3 + x) + 8 = 5x + -22 (-3 * 8x + x * 8x) + 8 = 5x + -22 (-24x + 8x2) + 8 = 5x + -22 Reorder the terms: 8 + -24x + 8x2 = 5x + -22 Reorder the terms: 8 + -24x + 8x2 = -22 + 5x Solving 8 + -24x + 8x2 = -22 + 5x Solving for variable 'x'. Reorder the terms: 8 + 22 + -24x + -5x + 8x2 = -22 + 5x + 22 + -5x Combine like terms: 8 + 22 = 30 30 + -24x + -5x + 8x2 = -22 + 5x + 22 + -5x Combine like terms: -24x + -5x = -29x 30 + -29x + 8x2 = -22 + 5x + 22 + -5x Reorder the terms: 30 + -29x + 8x2 = -22 + 22 + 5x + -5x Combine like terms: -22 + 22 = 0 30 + -29x + 8x2 = 0 + 5x + -5x 30 + -29x + 8x2 = 5x + -5x Combine like terms: 5x + -5x = 0 30 + -29x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 3.75 + -3.625x + x2 = 0 Move the constant term to the right: Add '-3.75' to each side of the equation. 3.75 + -3.625x + -3.75 + x2 = 0 + -3.75 Reorder the terms: 3.75 + -3.75 + -3.625x + x2 = 0 + -3.75 Combine like terms: 3.75 + -3.75 = 0.00 0.00 + -3.625x + x2 = 0 + -3.75 -3.625x + x2 = 0 + -3.75 Combine like terms: 0 + -3.75 = -3.75 -3.625x + x2 = -3.75 The x term is -3.625x. Take half its coefficient (-1.8125). Square it (3.28515625) and add it to both sides. Add '3.28515625' to each side of the equation. -3.625x + 3.28515625 + x2 = -3.75 + 3.28515625 Reorder the terms: 3.28515625 + -3.625x + x2 = -3.75 + 3.28515625 Combine like terms: -3.75 + 3.28515625 = -0.46484375 3.28515625 + -3.625x + x2 = -0.46484375 Factor a perfect square on the left side: (x + -1.8125)(x + -1.8125) = -0.46484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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