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Simplifying -3x2 + 18x = 34 Reorder the terms: 18x + -3x2 = 34 Solving 18x + -3x2 = 34 Solving for variable 'x'. Reorder the terms: -34 + 18x + -3x2 = 34 + -34 Combine like terms: 34 + -34 = 0 -34 + 18x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 11.33333333 + -6x + x2 = 0 Move the constant term to the right: Add '-11.33333333' to each side of the equation. 11.33333333 + -6x + -11.33333333 + x2 = 0 + -11.33333333 Reorder the terms: 11.33333333 + -11.33333333 + -6x + x2 = 0 + -11.33333333 Combine like terms: 11.33333333 + -11.33333333 = 0.00000000 0.00000000 + -6x + x2 = 0 + -11.33333333 -6x + x2 = 0 + -11.33333333 Combine like terms: 0 + -11.33333333 = -11.33333333 -6x + x2 = -11.33333333 The x term is -6x. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x + 9 + x2 = -11.33333333 + 9 Reorder the terms: 9 + -6x + x2 = -11.33333333 + 9 Combine like terms: -11.33333333 + 9 = -2.33333333 9 + -6x + x2 = -2.33333333 Factor a perfect square on the left side: (x + -3)(x + -3) = -2.33333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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