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Simplifying 3x2 + 18x + 62 = 0 Reorder the terms: 62 + 18x + 3x2 = 0 Solving 62 + 18x + 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'. 20.66666667 + 6x + x2 = 0 Move the constant term to the right: Add '-20.66666667' to each side of the equation. 20.66666667 + 6x + -20.66666667 + x2 = 0 + -20.66666667 Reorder the terms: 20.66666667 + -20.66666667 + 6x + x2 = 0 + -20.66666667 Combine like terms: 20.66666667 + -20.66666667 = 0.00000000 0.00000000 + 6x + x2 = 0 + -20.66666667 6x + x2 = 0 + -20.66666667 Combine like terms: 0 + -20.66666667 = -20.66666667 6x + x2 = -20.66666667 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 = -20.66666667 + 9 Reorder the terms: 9 + 6x + x2 = -20.66666667 + 9 Combine like terms: -20.66666667 + 9 = -11.66666667 9 + 6x + x2 = -11.66666667 Factor a perfect square on the left side: (x + 3)(x + 3) = -11.66666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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