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Simplifying 3x2 + 9x + 14 = 0 Reorder the terms: 14 + 9x + 3x2 = 0 Solving 14 + 9x + 3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 4.666666667 + 3x + x2 = 0 Move the constant term to the right: Add '-4.666666667' to each side of the equation. 4.666666667 + 3x + -4.666666667 + x2 = 0 + -4.666666667 Reorder the terms: 4.666666667 + -4.666666667 + 3x + x2 = 0 + -4.666666667 Combine like terms: 4.666666667 + -4.666666667 = 0.000000000 0.000000000 + 3x + x2 = 0 + -4.666666667 3x + x2 = 0 + -4.666666667 Combine like terms: 0 + -4.666666667 = -4.666666667 3x + x2 = -4.666666667 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 = -4.666666667 + 2.25 Reorder the terms: 2.25 + 3x + x2 = -4.666666667 + 2.25 Combine like terms: -4.666666667 + 2.25 = -2.416666667 2.25 + 3x + x2 = -2.416666667 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = -2.416666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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