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Simplifying 13x2 + -1x + 6 = 5x2 + -4x Reorder the terms: 6 + -1x + 13x2 = 5x2 + -4x Reorder the terms: 6 + -1x + 13x2 = -4x + 5x2 Solving 6 + -1x + 13x2 = -4x + 5x2 Solving for variable 'x'. Reorder the terms: 6 + -1x + 4x + 13x2 + -5x2 = -4x + 5x2 + 4x + -5x2 Combine like terms: -1x + 4x = 3x 6 + 3x + 13x2 + -5x2 = -4x + 5x2 + 4x + -5x2 Combine like terms: 13x2 + -5x2 = 8x2 6 + 3x + 8x2 = -4x + 5x2 + 4x + -5x2 Reorder the terms: 6 + 3x + 8x2 = -4x + 4x + 5x2 + -5x2 Combine like terms: -4x + 4x = 0 6 + 3x + 8x2 = 0 + 5x2 + -5x2 6 + 3x + 8x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 6 + 3x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.75 + 0.375x + x2 = 0 Move the constant term to the right: Add '-0.75' to each side of the equation. 0.75 + 0.375x + -0.75 + x2 = 0 + -0.75 Reorder the terms: 0.75 + -0.75 + 0.375x + x2 = 0 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + 0.375x + x2 = 0 + -0.75 0.375x + x2 = 0 + -0.75 Combine like terms: 0 + -0.75 = -0.75 0.375x + x2 = -0.75 The x term is 0.375x. Take half its coefficient (0.1875). Square it (0.03515625) and add it to both sides. Add '0.03515625' to each side of the equation. 0.375x + 0.03515625 + x2 = -0.75 + 0.03515625 Reorder the terms: 0.03515625 + 0.375x + x2 = -0.75 + 0.03515625 Combine like terms: -0.75 + 0.03515625 = -0.71484375 0.03515625 + 0.375x + x2 = -0.71484375 Factor a perfect square on the left side: (x + 0.1875)(x + 0.1875) = -0.71484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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