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Simplifying 3x2 + -9x + 7 = -3 Reorder the terms: 7 + -9x + 3x2 = -3 Solving 7 + -9x + 3x2 = -3 Solving for variable 'x'. Reorder the terms: 7 + 3 + -9x + 3x2 = -3 + 3 Combine like terms: 7 + 3 = 10 10 + -9x + 3x2 = -3 + 3 Combine like terms: -3 + 3 = 0 10 + -9x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 3.333333333 + -3x + x2 = 0 Move the constant term to the right: Add '-3.333333333' to each side of the equation. 3.333333333 + -3x + -3.333333333 + x2 = 0 + -3.333333333 Reorder the terms: 3.333333333 + -3.333333333 + -3x + x2 = 0 + -3.333333333 Combine like terms: 3.333333333 + -3.333333333 = 0.000000000 0.000000000 + -3x + x2 = 0 + -3.333333333 -3x + x2 = 0 + -3.333333333 Combine like terms: 0 + -3.333333333 = -3.333333333 -3x + x2 = -3.333333333 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 = -3.333333333 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -3.333333333 + 2.25 Combine like terms: -3.333333333 + 2.25 = -1.083333333 2.25 + -3x + x2 = -1.083333333 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = -1.083333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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