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Simplifying 9(x + -5) + -1x(5x + -8) = 0 Reorder the terms: 9(-5 + x) + -1x(5x + -8) = 0 (-5 * 9 + x * 9) + -1x(5x + -8) = 0 (-45 + 9x) + -1x(5x + -8) = 0 Reorder the terms: -45 + 9x + -1x(-8 + 5x) = 0 -45 + 9x + (-8 * -1x + 5x * -1x) = 0 -45 + 9x + (8x + -5x2) = 0 Combine like terms: 9x + 8x = 17x -45 + 17x + -5x2 = 0 Solving -45 + 17x + -5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 9 + -3.4x + x2 = 0 Move the constant term to the right: Add '-9' to each side of the equation. 9 + -3.4x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + -3.4x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -3.4x + x2 = 0 + -9 -3.4x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 -3.4x + x2 = -9 The x term is -3.4x. Take half its coefficient (-1.7). Square it (2.89) and add it to both sides. Add '2.89' to each side of the equation. -3.4x + 2.89 + x2 = -9 + 2.89 Reorder the terms: 2.89 + -3.4x + x2 = -9 + 2.89 Combine like terms: -9 + 2.89 = -6.11 2.89 + -3.4x + x2 = -6.11 Factor a perfect square on the left side: (x + -1.7)(x + -1.7) = -6.11 Can't calculate square root of the right side. The solution to this equation could not be determined.
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