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Simplifying 6x2 + -1x + 5 + 2x + 4 = 0 Reorder the terms: 5 + 4 + -1x + 2x + 6x2 = 0 Combine like terms: 5 + 4 = 9 9 + -1x + 2x + 6x2 = 0 Combine like terms: -1x + 2x = 1x 9 + 1x + 6x2 = 0 Solving 9 + 1x + 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'. 1.5 + 0.1666666667x + x2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + 0.1666666667x + -1.5 + x2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + 0.1666666667x + x2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 0.1666666667x + x2 = 0 + -1.5 0.1666666667x + x2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 0.1666666667x + x2 = -1.5 The x term is 0.1666666667x. Take half its coefficient (0.08333333335). Square it (0.006944444447) and add it to both sides. Add '0.006944444447' to each side of the equation. 0.1666666667x + 0.006944444447 + x2 = -1.5 + 0.006944444447 Reorder the terms: 0.006944444447 + 0.1666666667x + x2 = -1.5 + 0.006944444447 Combine like terms: -1.5 + 0.006944444447 = -1.493055555553 0.006944444447 + 0.1666666667x + x2 = -1.493055555553 Factor a perfect square on the left side: (x + 0.08333333335)(x + 0.08333333335) = -1.493055555553 Can't calculate square root of the right side. The solution to this equation could not be determined.
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