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Simplifying -3x2 + 16x + -30 = 0 Reorder the terms: -30 + 16x + -3x2 = 0 Solving -30 + 16x + -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'. 10 + -5.333333333x + x2 = 0 Move the constant term to the right: Add '-10' to each side of the equation. 10 + -5.333333333x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + -5.333333333x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -5.333333333x + x2 = 0 + -10 -5.333333333x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 -5.333333333x + x2 = -10 The x term is -5.333333333x. Take half its coefficient (-2.666666667). Square it (7.111111113) and add it to both sides. Add '7.111111113' to each side of the equation. -5.333333333x + 7.111111113 + x2 = -10 + 7.111111113 Reorder the terms: 7.111111113 + -5.333333333x + x2 = -10 + 7.111111113 Combine like terms: -10 + 7.111111113 = -2.888888887 7.111111113 + -5.333333333x + x2 = -2.888888887 Factor a perfect square on the left side: (x + -2.666666667)(x + -2.666666667) = -2.888888887 Can't calculate square root of the right side. The solution to this equation could not be determined.
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