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Simplifying 13x2 + -5x + -3x2 + 7 + 11x = 0 Reorder the terms: 7 + -5x + 11x + 13x2 + -3x2 = 0 Combine like terms: -5x + 11x = 6x 7 + 6x + 13x2 + -3x2 = 0 Combine like terms: 13x2 + -3x2 = 10x2 7 + 6x + 10x2 = 0 Solving 7 + 6x + 10x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.7 + 0.6x + x2 = 0.0 Move the constant term to the right: Add '-0.7' to each side of the equation. 0.7 + 0.6x + -0.7 + x2 = 0.0 + -0.7 Reorder the terms: 0.7 + -0.7 + 0.6x + x2 = 0.0 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + 0.6x + x2 = 0.0 + -0.7 0.6x + x2 = 0.0 + -0.7 Combine like terms: 0.0 + -0.7 = -0.7 0.6x + x2 = -0.7 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 = -0.7 + 0.09 Reorder the terms: 0.09 + 0.6x + x2 = -0.7 + 0.09 Combine like terms: -0.7 + 0.09 = -0.61 0.09 + 0.6x + x2 = -0.61 Factor a perfect square on the left side: (x + 0.3)(x + 0.3) = -0.61 Can't calculate square root of the right side. The solution to this equation could not be determined.
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