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Simplifying 11x + -17 = 9x + 10x2 Reorder the terms: -17 + 11x = 9x + 10x2 Solving -17 + 11x = 9x + 10x2 Solving for variable 'x'. Combine like terms: 11x + -9x = 2x -17 + 2x + -10x2 = 9x + 10x2 + -9x + -10x2 Reorder the terms: -17 + 2x + -10x2 = 9x + -9x + 10x2 + -10x2 Combine like terms: 9x + -9x = 0 -17 + 2x + -10x2 = 0 + 10x2 + -10x2 -17 + 2x + -10x2 = 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 -17 + 2x + -10x2 = 0 Begin completing the square. Divide all terms by -10 the coefficient of the squared term: Divide each side by '-10'. 1.7 + -0.2x + x2 = 0 Move the constant term to the right: Add '-1.7' to each side of the equation. 1.7 + -0.2x + -1.7 + x2 = 0 + -1.7 Reorder the terms: 1.7 + -1.7 + -0.2x + x2 = 0 + -1.7 Combine like terms: 1.7 + -1.7 = 0.0 0.0 + -0.2x + x2 = 0 + -1.7 -0.2x + x2 = 0 + -1.7 Combine like terms: 0 + -1.7 = -1.7 -0.2x + x2 = -1.7 The x term is -0.2x. Take half its coefficient (-0.1). Square it (0.01) and add it to both sides. Add '0.01' to each side of the equation. -0.2x + 0.01 + x2 = -1.7 + 0.01 Reorder the terms: 0.01 + -0.2x + x2 = -1.7 + 0.01 Combine like terms: -1.7 + 0.01 = -1.69 0.01 + -0.2x + x2 = -1.69 Factor a perfect square on the left side: (x + -0.1)(x + -0.1) = -1.69 Can't calculate square root of the right side. The solution to this equation could not be determined.
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