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Simplifying 17x2 + 28x + 24 = 0 Reorder the terms: 24 + 28x + 17x2 = 0 Solving 24 + 28x + 17x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 17 the coefficient of the squared term: Divide each side by '17'. 1.411764706 + 1.647058824x + x2 = 0 Move the constant term to the right: Add '-1.411764706' to each side of the equation. 1.411764706 + 1.647058824x + -1.411764706 + x2 = 0 + -1.411764706 Reorder the terms: 1.411764706 + -1.411764706 + 1.647058824x + x2 = 0 + -1.411764706 Combine like terms: 1.411764706 + -1.411764706 = 0.000000000 0.000000000 + 1.647058824x + x2 = 0 + -1.411764706 1.647058824x + x2 = 0 + -1.411764706 Combine like terms: 0 + -1.411764706 = -1.411764706 1.647058824x + x2 = -1.411764706 The x term is 1.647058824x. Take half its coefficient (0.823529412). Square it (0.6782006924) and add it to both sides. Add '0.6782006924' to each side of the equation. 1.647058824x + 0.6782006924 + x2 = -1.411764706 + 0.6782006924 Reorder the terms: 0.6782006924 + 1.647058824x + x2 = -1.411764706 + 0.6782006924 Combine like terms: -1.411764706 + 0.6782006924 = -0.7335640136 0.6782006924 + 1.647058824x + x2 = -0.7335640136 Factor a perfect square on the left side: (x + 0.823529412)(x + 0.823529412) = -0.7335640136 Can't calculate square root of the right side. The solution to this equation could not be determined.
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