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Simplifying 2x(3 + -1x) = 7 + -1x (3 * 2x + -1x * 2x) = 7 + -1x (6x + -2x2) = 7 + -1x Solving 6x + -2x2 = 7 + -1x Solving for variable 'x'. Reorder the terms: -7 + 6x + x + -2x2 = 7 + -1x + -7 + x Combine like terms: 6x + x = 7x -7 + 7x + -2x2 = 7 + -1x + -7 + x Reorder the terms: -7 + 7x + -2x2 = 7 + -7 + -1x + x Combine like terms: 7 + -7 = 0 -7 + 7x + -2x2 = 0 + -1x + x -7 + 7x + -2x2 = -1x + x Combine like terms: -1x + x = 0 -7 + 7x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 3.5 + -3.5x + x2 = 0 Move the constant term to the right: Add '-3.5' to each side of the equation. 3.5 + -3.5x + -3.5 + x2 = 0 + -3.5 Reorder the terms: 3.5 + -3.5 + -3.5x + x2 = 0 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + -3.5x + x2 = 0 + -3.5 -3.5x + x2 = 0 + -3.5 Combine like terms: 0 + -3.5 = -3.5 -3.5x + x2 = -3.5 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 = -3.5 + 3.0625 Reorder the terms: 3.0625 + -3.5x + x2 = -3.5 + 3.0625 Combine like terms: -3.5 + 3.0625 = -0.4375 3.0625 + -3.5x + x2 = -0.4375 Factor a perfect square on the left side: (x + -1.75)(x + -1.75) = -0.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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