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Simplifying 3X2 + 7X = -9 Reorder the terms: 7X + 3X2 = -9 Solving 7X + 3X2 = -9 Solving for variable 'X'. Reorder the terms: 9 + 7X + 3X2 = -9 + 9 Combine like terms: -9 + 9 = 0 9 + 7X + 3X2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 3 + 2.333333333X + X2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + 2.333333333X + -3 + X2 = 0 + -3 Reorder the terms: 3 + -3 + 2.333333333X + X2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2.333333333X + X2 = 0 + -3 2.333333333X + X2 = 0 + -3 Combine like terms: 0 + -3 = -3 2.333333333X + X2 = -3 The X term is 2.333333333X. Take half its coefficient (1.166666667). Square it (1.361111112) and add it to both sides. Add '1.361111112' to each side of the equation. 2.333333333X + 1.361111112 + X2 = -3 + 1.361111112 Reorder the terms: 1.361111112 + 2.333333333X + X2 = -3 + 1.361111112 Combine like terms: -3 + 1.361111112 = -1.638888888 1.361111112 + 2.333333333X + X2 = -1.638888888 Factor a perfect square on the left side: (X + 1.166666667)(X + 1.166666667) = -1.638888888 Can't calculate square root of the right side. The solution to this equation could not be determined.
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