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Simplifying 9x + 8x2 = -6 Solving 9x + 8x2 = -6 Solving for variable 'x'. Reorder the terms: 6 + 9x + 8x2 = -6 + 6 Combine like terms: -6 + 6 = 0 6 + 9x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.75 + 1.125x + x2 = 0 Move the constant term to the right: Add '-0.75' to each side of the equation. 0.75 + 1.125x + -0.75 + x2 = 0 + -0.75 Reorder the terms: 0.75 + -0.75 + 1.125x + x2 = 0 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + 1.125x + x2 = 0 + -0.75 1.125x + x2 = 0 + -0.75 Combine like terms: 0 + -0.75 = -0.75 1.125x + x2 = -0.75 The x term is 1.125x. Take half its coefficient (0.5625). Square it (0.31640625) and add it to both sides. Add '0.31640625' to each side of the equation. 1.125x + 0.31640625 + x2 = -0.75 + 0.31640625 Reorder the terms: 0.31640625 + 1.125x + x2 = -0.75 + 0.31640625 Combine like terms: -0.75 + 0.31640625 = -0.43359375 0.31640625 + 1.125x + x2 = -0.43359375 Factor a perfect square on the left side: (x + 0.5625)(x + 0.5625) = -0.43359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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