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Simplifying 3x2 + -9x + 20 = 13 Reorder the terms: 20 + -9x + 3x2 = 13 Solving 20 + -9x + 3x2 = 13 Solving for variable 'x'. Reorder the terms: 20 + -13 + -9x + 3x2 = 13 + -13 Combine like terms: 20 + -13 = 7 7 + -9x + 3x2 = 13 + -13 Combine like terms: 13 + -13 = 0 7 + -9x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 2.333333333 + -3x + x2 = 0 Move the constant term to the right: Add '-2.333333333' to each side of the equation. 2.333333333 + -3x + -2.333333333 + x2 = 0 + -2.333333333 Reorder the terms: 2.333333333 + -2.333333333 + -3x + x2 = 0 + -2.333333333 Combine like terms: 2.333333333 + -2.333333333 = 0.000000000 0.000000000 + -3x + x2 = 0 + -2.333333333 -3x + x2 = 0 + -2.333333333 Combine like terms: 0 + -2.333333333 = -2.333333333 -3x + x2 = -2.333333333 The x term is -3x. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3x + 2.25 + x2 = -2.333333333 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -2.333333333 + 2.25 Combine like terms: -2.333333333 + 2.25 = -0.083333333 2.25 + -3x + x2 = -0.083333333 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = -0.083333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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