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Simplifying -1 = 0.6x2 + 3x + 6 Reorder the terms: -1 = 6 + 3x + 0.6x2 Solving -1 = 6 + 3x + 0.6x2 Solving for variable 'x'. Combine like terms: -1 + -6 = -7 -7 + -3x + -0.6x2 = 6 + 3x + 0.6x2 + -6 + -3x + -0.6x2 Reorder the terms: -7 + -3x + -0.6x2 = 6 + -6 + 3x + -3x + 0.6x2 + -0.6x2 Combine like terms: 6 + -6 = 0 -7 + -3x + -0.6x2 = 0 + 3x + -3x + 0.6x2 + -0.6x2 -7 + -3x + -0.6x2 = 3x + -3x + 0.6x2 + -0.6x2 Combine like terms: 3x + -3x = 0 -7 + -3x + -0.6x2 = 0 + 0.6x2 + -0.6x2 -7 + -3x + -0.6x2 = 0.6x2 + -0.6x2 Combine like terms: 0.6x2 + -0.6x2 = 0.0 -7 + -3x + -0.6x2 = 0.0 Begin completing the square. Divide all terms by -0.6 the coefficient of the squared term: Divide each side by '-0.6'. 11.66666667 + 5x + x2 = 0 Move the constant term to the right: Add '-11.66666667' to each side of the equation. 11.66666667 + 5x + -11.66666667 + x2 = 0 + -11.66666667 Reorder the terms: 11.66666667 + -11.66666667 + 5x + x2 = 0 + -11.66666667 Combine like terms: 11.66666667 + -11.66666667 = 0.00000000 0.00000000 + 5x + x2 = 0 + -11.66666667 5x + x2 = 0 + -11.66666667 Combine like terms: 0 + -11.66666667 = -11.66666667 5x + x2 = -11.66666667 The x term is 5x. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5x + 6.25 + x2 = -11.66666667 + 6.25 Reorder the terms: 6.25 + 5x + x2 = -11.66666667 + 6.25 Combine like terms: -11.66666667 + 6.25 = -5.41666667 6.25 + 5x + x2 = -5.41666667 Factor a perfect square on the left side: (x + 2.5)(x + 2.5) = -5.41666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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