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Simplifying 10x2 + 9 = 17x + -9 Reorder the terms: 9 + 10x2 = 17x + -9 Reorder the terms: 9 + 10x2 = -9 + 17x Solving 9 + 10x2 = -9 + 17x Solving for variable 'x'. Reorder the terms: 9 + 9 + -17x + 10x2 = -9 + 17x + 9 + -17x Combine like terms: 9 + 9 = 18 18 + -17x + 10x2 = -9 + 17x + 9 + -17x Reorder the terms: 18 + -17x + 10x2 = -9 + 9 + 17x + -17x Combine like terms: -9 + 9 = 0 18 + -17x + 10x2 = 0 + 17x + -17x 18 + -17x + 10x2 = 17x + -17x Combine like terms: 17x + -17x = 0 18 + -17x + 10x2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 1.8 + -1.7x + x2 = 0 Move the constant term to the right: Add '-1.8' to each side of the equation. 1.8 + -1.7x + -1.8 + x2 = 0 + -1.8 Reorder the terms: 1.8 + -1.8 + -1.7x + x2 = 0 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + -1.7x + x2 = 0 + -1.8 -1.7x + x2 = 0 + -1.8 Combine like terms: 0 + -1.8 = -1.8 -1.7x + x2 = -1.8 The x term is -1.7x. Take half its coefficient (-0.85). Square it (0.7225) and add it to both sides. Add '0.7225' to each side of the equation. -1.7x + 0.7225 + x2 = -1.8 + 0.7225 Reorder the terms: 0.7225 + -1.7x + x2 = -1.8 + 0.7225 Combine like terms: -1.8 + 0.7225 = -1.0775 0.7225 + -1.7x + x2 = -1.0775 Factor a perfect square on the left side: (x + -0.85)(x + -0.85) = -1.0775 Can't calculate square root of the right side. The solution to this equation could not be determined.
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