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Simplifying 6x2 + 14x + 33 = 0 Reorder the terms: 33 + 14x + 6x2 = 0 Solving 33 + 14x + 6x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 5.5 + 2.333333333x + x2 = 0 Move the constant term to the right: Add '-5.5' to each side of the equation. 5.5 + 2.333333333x + -5.5 + x2 = 0 + -5.5 Reorder the terms: 5.5 + -5.5 + 2.333333333x + x2 = 0 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + 2.333333333x + x2 = 0 + -5.5 2.333333333x + x2 = 0 + -5.5 Combine like terms: 0 + -5.5 = -5.5 2.333333333x + x2 = -5.5 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 = -5.5 + 1.361111112 Reorder the terms: 1.361111112 + 2.333333333x + x2 = -5.5 + 1.361111112 Combine like terms: -5.5 + 1.361111112 = -4.138888888 1.361111112 + 2.333333333x + x2 = -4.138888888 Factor a perfect square on the left side: (x + 1.166666667)(x + 1.166666667) = -4.138888888 Can't calculate square root of the right side. The solution to this equation could not be determined.
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