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Simplifying 0.03x2 + -1.2x + 17 = 0 Reorder the terms: 17 + -1.2x + 0.03x2 = 0 Solving 17 + -1.2x + 0.03x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.03 the coefficient of the squared term: Divide each side by '0.03'. 566.6666667 + -40x + x2 = 0 Move the constant term to the right: Add '-566.6666667' to each side of the equation. 566.6666667 + -40x + -566.6666667 + x2 = 0 + -566.6666667 Reorder the terms: 566.6666667 + -566.6666667 + -40x + x2 = 0 + -566.6666667 Combine like terms: 566.6666667 + -566.6666667 = 0.0000000 0.0000000 + -40x + x2 = 0 + -566.6666667 -40x + x2 = 0 + -566.6666667 Combine like terms: 0 + -566.6666667 = -566.6666667 -40x + x2 = -566.6666667 The x term is -40x. Take half its coefficient (-20). Square it (400) and add it to both sides. Add '400' to each side of the equation. -40x + 400 + x2 = -566.6666667 + 400 Reorder the terms: 400 + -40x + x2 = -566.6666667 + 400 Combine like terms: -566.6666667 + 400 = -166.6666667 400 + -40x + x2 = -166.6666667 Factor a perfect square on the left side: (x + -20)(x + -20) = -166.6666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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