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Simplifying -17x2 = 11 + -13x Solving -17x2 = 11 + -13x Solving for variable 'x'. Reorder the terms: -11 + 13x + -17x2 = 11 + -13x + -11 + 13x Reorder the terms: -11 + 13x + -17x2 = 11 + -11 + -13x + 13x Combine like terms: 11 + -11 = 0 -11 + 13x + -17x2 = 0 + -13x + 13x -11 + 13x + -17x2 = -13x + 13x Combine like terms: -13x + 13x = 0 -11 + 13x + -17x2 = 0 Begin completing the square. Divide all terms by -17 the coefficient of the squared term: Divide each side by '-17'. 0.6470588235 + -0.7647058824x + x2 = 0 Move the constant term to the right: Add '-0.6470588235' to each side of the equation. 0.6470588235 + -0.7647058824x + -0.6470588235 + x2 = 0 + -0.6470588235 Reorder the terms: 0.6470588235 + -0.6470588235 + -0.7647058824x + x2 = 0 + -0.6470588235 Combine like terms: 0.6470588235 + -0.6470588235 = 0.0000000000 0.0000000000 + -0.7647058824x + x2 = 0 + -0.6470588235 -0.7647058824x + x2 = 0 + -0.6470588235 Combine like terms: 0 + -0.6470588235 = -0.6470588235 -0.7647058824x + x2 = -0.6470588235 The x term is -0.7647058824x. Take half its coefficient (-0.3823529412). Square it (0.1461937716) and add it to both sides. Add '0.1461937716' to each side of the equation. -0.7647058824x + 0.1461937716 + x2 = -0.6470588235 + 0.1461937716 Reorder the terms: 0.1461937716 + -0.7647058824x + x2 = -0.6470588235 + 0.1461937716 Combine like terms: -0.6470588235 + 0.1461937716 = -0.5008650519 0.1461937716 + -0.7647058824x + x2 = -0.5008650519 Factor a perfect square on the left side: (x + -0.3823529412)(x + -0.3823529412) = -0.5008650519 Can't calculate square root of the right side. The solution to this equation could not be determined.
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