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Simplifying (3x2 + 14x + 24) = 0 Reorder the terms: (24 + 14x + 3x2) = 0 Remove parenthesis around (24 + 14x + 3x2) 24 + 14x + 3x2 = 0 Solving 24 + 14x + 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'. 8 + 4.666666667x + x2 = 0 Move the constant term to the right: Add '-8' to each side of the equation. 8 + 4.666666667x + -8 + x2 = 0 + -8 Reorder the terms: 8 + -8 + 4.666666667x + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 4.666666667x + x2 = 0 + -8 4.666666667x + x2 = 0 + -8 Combine like terms: 0 + -8 = -8 4.666666667x + x2 = -8 The x term is 4.666666667x. Take half its coefficient (2.333333334). Square it (5.444444448) and add it to both sides. Add '5.444444448' to each side of the equation. 4.666666667x + 5.444444448 + x2 = -8 + 5.444444448 Reorder the terms: 5.444444448 + 4.666666667x + x2 = -8 + 5.444444448 Combine like terms: -8 + 5.444444448 = -2.555555552 5.444444448 + 4.666666667x + x2 = -2.555555552 Factor a perfect square on the left side: (x + 2.333333334)(x + 2.333333334) = -2.555555552 Can't calculate square root of the right side. The solution to this equation could not be determined.
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