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Simplifying 2(2 + -1x)(2 + -1x) + 3 = 0 Multiply (2 + -1x) * (2 + -1x) 2(2(2 + -1x) + -1x * (2 + -1x)) + 3 = 0 2((2 * 2 + -1x * 2) + -1x * (2 + -1x)) + 3 = 0 2((4 + -2x) + -1x * (2 + -1x)) + 3 = 0 2(4 + -2x + (2 * -1x + -1x * -1x)) + 3 = 0 2(4 + -2x + (-2x + 1x2)) + 3 = 0 Combine like terms: -2x + -2x = -4x 2(4 + -4x + 1x2) + 3 = 0 (4 * 2 + -4x * 2 + 1x2 * 2) + 3 = 0 (8 + -8x + 2x2) + 3 = 0 Reorder the terms: 8 + 3 + -8x + 2x2 = 0 Combine like terms: 8 + 3 = 11 11 + -8x + 2x2 = 0 Solving 11 + -8x + 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'. 5.5 + -4x + x2 = 0 Move the constant term to the right: Add '-5.5' to each side of the equation. 5.5 + -4x + -5.5 + x2 = 0 + -5.5 Reorder the terms: 5.5 + -5.5 + -4x + x2 = 0 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + -4x + x2 = 0 + -5.5 -4x + x2 = 0 + -5.5 Combine like terms: 0 + -5.5 = -5.5 -4x + x2 = -5.5 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = -5.5 + 4 Reorder the terms: 4 + -4x + x2 = -5.5 + 4 Combine like terms: -5.5 + 4 = -1.5 4 + -4x + x2 = -1.5 Factor a perfect square on the left side: (x + -2)(x + -2) = -1.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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