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Simplifying -3.5x2 + -2.1x + -1 = 0 Reorder the terms: -1 + -2.1x + -3.5x2 = 0 Solving -1 + -2.1x + -3.5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -3.5 the coefficient of the squared term: Divide each side by '-3.5'. 0.2857142857 + 0.6x + x2 = 0 Move the constant term to the right: Add '-0.2857142857' to each side of the equation. 0.2857142857 + 0.6x + -0.2857142857 + x2 = 0 + -0.2857142857 Reorder the terms: 0.2857142857 + -0.2857142857 + 0.6x + x2 = 0 + -0.2857142857 Combine like terms: 0.2857142857 + -0.2857142857 = 0.0000000000 0.0000000000 + 0.6x + x2 = 0 + -0.2857142857 0.6x + x2 = 0 + -0.2857142857 Combine like terms: 0 + -0.2857142857 = -0.2857142857 0.6x + x2 = -0.2857142857 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 = -0.2857142857 + 0.09 Reorder the terms: 0.09 + 0.6x + x2 = -0.2857142857 + 0.09 Combine like terms: -0.2857142857 + 0.09 = -0.1957142857 0.09 + 0.6x + x2 = -0.1957142857 Factor a perfect square on the left side: (x + 0.3)(x + 0.3) = -0.1957142857 Can't calculate square root of the right side. The solution to this equation could not be determined.
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