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Simplifying (x + 4)(x + 4) + -1(-8x + -6)(x + -2) = 0 Reorder the terms: (4 + x)(x + 4) + -1(-8x + -6)(x + -2) = 0 Reorder the terms: (4 + x)(4 + x) + -1(-8x + -6)(x + -2) = 0 Multiply (4 + x) * (4 + x) (4(4 + x) + x(4 + x)) + -1(-8x + -6)(x + -2) = 0 ((4 * 4 + x * 4) + x(4 + x)) + -1(-8x + -6)(x + -2) = 0 ((16 + 4x) + x(4 + x)) + -1(-8x + -6)(x + -2) = 0 (16 + 4x + (4 * x + x * x)) + -1(-8x + -6)(x + -2) = 0 (16 + 4x + (4x + x2)) + -1(-8x + -6)(x + -2) = 0 Combine like terms: 4x + 4x = 8x (16 + 8x + x2) + -1(-8x + -6)(x + -2) = 0 Reorder the terms: 16 + 8x + x2 + -1(-6 + -8x)(x + -2) = 0 Reorder the terms: 16 + 8x + x2 + -1(-6 + -8x)(-2 + x) = 0 Multiply (-6 + -8x) * (-2 + x) 16 + 8x + x2 + -1(-6(-2 + x) + -8x * (-2 + x)) = 0 16 + 8x + x2 + -1((-2 * -6 + x * -6) + -8x * (-2 + x)) = 0 16 + 8x + x2 + -1((12 + -6x) + -8x * (-2 + x)) = 0 16 + 8x + x2 + -1(12 + -6x + (-2 * -8x + x * -8x)) = 0 16 + 8x + x2 + -1(12 + -6x + (16x + -8x2)) = 0 Combine like terms: -6x + 16x = 10x 16 + 8x + x2 + -1(12 + 10x + -8x2) = 0 16 + 8x + x2 + (12 * -1 + 10x * -1 + -8x2 * -1) = 0 16 + 8x + x2 + (-12 + -10x + 8x2) = 0 Reorder the terms: 16 + -12 + 8x + -10x + x2 + 8x2 = 0 Combine like terms: 16 + -12 = 4 4 + 8x + -10x + x2 + 8x2 = 0 Combine like terms: 8x + -10x = -2x 4 + -2x + x2 + 8x2 = 0 Combine like terms: x2 + 8x2 = 9x2 4 + -2x + 9x2 = 0 Solving 4 + -2x + 9x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.4444444444 + -0.2222222222x + x2 = 0 Move the constant term to the right: Add '-0.4444444444' to each side of the equation. 0.4444444444 + -0.2222222222x + -0.4444444444 + x2 = 0 + -0.4444444444 Reorder the terms: 0.4444444444 + -0.4444444444 + -0.2222222222x + x2 = 0 + -0.4444444444 Combine like terms: 0.4444444444 + -0.4444444444 = 0.0000000000 0.0000000000 + -0.2222222222x + x2 = 0 + -0.4444444444 -0.2222222222x + x2 = 0 + -0.4444444444 Combine like terms: 0 + -0.4444444444 = -0.4444444444 -0.2222222222x + x2 = -0.4444444444 The x term is -0.2222222222x. Take half its coefficient (-0.1111111111). Square it (0.01234567901) and add it to both sides. Add '0.01234567901' to each side of the equation. -0.2222222222x + 0.01234567901 + x2 = -0.4444444444 + 0.01234567901 Reorder the terms: 0.01234567901 + -0.2222222222x + x2 = -0.4444444444 + 0.01234567901 Combine like terms: -0.4444444444 + 0.01234567901 = -0.43209876539 0.01234567901 + -0.2222222222x + x2 = -0.43209876539 Factor a perfect square on the left side: (x + -0.1111111111)(x + -0.1111111111) = -0.43209876539 Can't calculate square root of the right side. The solution to this equation could not be determined.
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