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Simplifying 3x = -2(x + -1) * x + 2(x + -1) Reorder the terms: 3x = -2(-1 + x) * x + 2(x + -1) Reorder the terms for easier multiplication: 3x = -2x(-1 + x) + 2(x + -1) 3x = (-1 * -2x + x * -2x) + 2(x + -1) 3x = (2x + -2x2) + 2(x + -1) Reorder the terms: 3x = 2x + -2x2 + 2(-1 + x) 3x = 2x + -2x2 + (-1 * 2 + x * 2) 3x = 2x + -2x2 + (-2 + 2x) Reorder the terms: 3x = -2 + 2x + 2x + -2x2 Combine like terms: 2x + 2x = 4x 3x = -2 + 4x + -2x2 Solving 3x = -2 + 4x + -2x2 Solving for variable 'x'. Reorder the terms: 2 + 3x + -4x + 2x2 = -2 + 4x + -2x2 + 2 + -4x + 2x2 Combine like terms: 3x + -4x = -1x 2 + -1x + 2x2 = -2 + 4x + -2x2 + 2 + -4x + 2x2 Reorder the terms: 2 + -1x + 2x2 = -2 + 2 + 4x + -4x + -2x2 + 2x2 Combine like terms: -2 + 2 = 0 2 + -1x + 2x2 = 0 + 4x + -4x + -2x2 + 2x2 2 + -1x + 2x2 = 4x + -4x + -2x2 + 2x2 Combine like terms: 4x + -4x = 0 2 + -1x + 2x2 = 0 + -2x2 + 2x2 2 + -1x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 2 + -1x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 1 + -0.5x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.5x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -0.5x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.5x + x2 = 0 + -1 -0.5x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.5x + x2 = -1 The x term is -0.5x. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5x + 0.0625 + x2 = -1 + 0.0625 Reorder the terms: 0.0625 + -0.5x + x2 = -1 + 0.0625 Combine like terms: -1 + 0.0625 = -0.9375 0.0625 + -0.5x + x2 = -0.9375 Factor a perfect square on the left side: (x + -0.25)(x + -0.25) = -0.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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