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Simplifying 2x(x + -2) = 7x + -4(2 + x) Reorder the terms: 2x(-2 + x) = 7x + -4(2 + x) (-2 * 2x + x * 2x) = 7x + -4(2 + x) (-4x + 2x2) = 7x + -4(2 + x) -4x + 2x2 = 7x + (2 * -4 + x * -4) -4x + 2x2 = 7x + (-8 + -4x) Reorder the terms: -4x + 2x2 = -8 + 7x + -4x Combine like terms: 7x + -4x = 3x -4x + 2x2 = -8 + 3x Solving -4x + 2x2 = -8 + 3x Solving for variable 'x'. Reorder the terms: 8 + -4x + -3x + 2x2 = -8 + 3x + 8 + -3x Combine like terms: -4x + -3x = -7x 8 + -7x + 2x2 = -8 + 3x + 8 + -3x Reorder the terms: 8 + -7x + 2x2 = -8 + 8 + 3x + -3x Combine like terms: -8 + 8 = 0 8 + -7x + 2x2 = 0 + 3x + -3x 8 + -7x + 2x2 = 3x + -3x Combine like terms: 3x + -3x = 0 8 + -7x + 2x2 = 0 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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