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Simplifying 0.666667x2 + 4x + 6 = 0 Reorder the terms: 6 + 4x + 0.666667x2 = 0 Solving 6 + 4x + 0.666667x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.666667 the coefficient of the squared term: Divide each side by '0.666667'. 8.9999955 + 5.999997x + x2 = 0 Move the constant term to the right: Add '-8.9999955' to each side of the equation. 8.9999955 + 5.999997x + -8.9999955 + x2 = 0 + -8.9999955 Reorder the terms: 8.9999955 + -8.9999955 + 5.999997x + x2 = 0 + -8.9999955 Combine like terms: 8.9999955 + -8.9999955 = 0.0000000 0.0000000 + 5.999997x + x2 = 0 + -8.9999955 5.999997x + x2 = 0 + -8.9999955 Combine like terms: 0 + -8.9999955 = -8.9999955 5.999997x + x2 = -8.9999955 The x term is 5.999997x. Take half its coefficient (2.9999985). Square it (8.999991000) and add it to both sides. Add '8.999991000' to each side of the equation. 5.999997x + 8.999991000 + x2 = -8.9999955 + 8.999991000 Reorder the terms: 8.999991000 + 5.999997x + x2 = -8.9999955 + 8.999991000 Combine like terms: -8.9999955 + 8.999991000 = -0.0000045 8.999991000 + 5.999997x + x2 = -0.0000045 Factor a perfect square on the left side: (x + 2.9999985)(x + 2.9999985) = -0.0000045 Can't calculate square root of the right side. The solution to this equation could not be determined.
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