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Simplifying -5 + 5x + -3 + -6x2 + x2 + -2x = 0 Reorder the terms: -5 + -3 + 5x + -2x + -6x2 + x2 = 0 Combine like terms: -5 + -3 = -8 -8 + 5x + -2x + -6x2 + x2 = 0 Combine like terms: 5x + -2x = 3x -8 + 3x + -6x2 + x2 = 0 Combine like terms: -6x2 + x2 = -5x2 -8 + 3x + -5x2 = 0 Solving -8 + 3x + -5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 1.6 + -0.6x + x2 = 0 Move the constant term to the right: Add '-1.6' to each side of the equation. 1.6 + -0.6x + -1.6 + x2 = 0 + -1.6 Reorder the terms: 1.6 + -1.6 + -0.6x + x2 = 0 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + -0.6x + x2 = 0 + -1.6 -0.6x + x2 = 0 + -1.6 Combine like terms: 0 + -1.6 = -1.6 -0.6x + x2 = -1.6 The x term is -0.6x. Take half its coefficient (-0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. -0.6x + 0.09 + x2 = -1.6 + 0.09 Reorder the terms: 0.09 + -0.6x + x2 = -1.6 + 0.09 Combine like terms: -1.6 + 0.09 = -1.51 0.09 + -0.6x + x2 = -1.51 Factor a perfect square on the left side: (x + -0.3)(x + -0.3) = -1.51 Can't calculate square root of the right side. The solution to this equation could not be determined.
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