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Simplifying 2x(x + 4) + -1(x + -8) = 0 Reorder the terms: 2x(4 + x) + -1(x + -8) = 0 (4 * 2x + x * 2x) + -1(x + -8) = 0 (8x + 2x2) + -1(x + -8) = 0 Reorder the terms: 8x + 2x2 + -1(-8 + x) = 0 8x + 2x2 + (-8 * -1 + x * -1) = 0 8x + 2x2 + (8 + -1x) = 0 Reorder the terms: 8 + 8x + -1x + 2x2 = 0 Combine like terms: 8x + -1x = 7x 8 + 7x + 2x2 = 0 Solving 8 + 7x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 4 + 3.5x + x2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + 3.5x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + 3.5x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3.5x + x2 = 0 + -4 3.5x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 3.5x + x2 = -4 The x term is 3.5x. Take half its coefficient (1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. 3.5x + 3.0625 + x2 = -4 + 3.0625 Reorder the terms: 3.0625 + 3.5x + x2 = -4 + 3.0625 Combine like terms: -4 + 3.0625 = -0.9375 3.0625 + 3.5x + x2 = -0.9375 Factor a perfect square on the left side: (x + 1.75)(x + 1.75) = -0.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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