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Simplifying (x + -3)(x + -4) + 8 = x Reorder the terms: (-3 + x)(x + -4) + 8 = x Reorder the terms: (-3 + x)(-4 + x) + 8 = x Multiply (-3 + x) * (-4 + x) (-3(-4 + x) + x(-4 + x)) + 8 = x ((-4 * -3 + x * -3) + x(-4 + x)) + 8 = x ((12 + -3x) + x(-4 + x)) + 8 = x (12 + -3x + (-4 * x + x * x)) + 8 = x (12 + -3x + (-4x + x2)) + 8 = x Combine like terms: -3x + -4x = -7x (12 + -7x + x2) + 8 = x Reorder the terms: 12 + 8 + -7x + x2 = x Combine like terms: 12 + 8 = 20 20 + -7x + x2 = x Solving 20 + -7x + x2 = x Solving for variable 'x'. Reorder the terms: 20 + -7x + -1x + x2 = x + -1x Combine like terms: -7x + -1x = -8x 20 + -8x + x2 = x + -1x Combine like terms: x + -1x = 0 20 + -8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-20' to each side of the equation. 20 + -8x + -20 + x2 = 0 + -20 Reorder the terms: 20 + -20 + -8x + x2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -8x + x2 = 0 + -20 -8x + x2 = 0 + -20 Combine like terms: 0 + -20 = -20 -8x + x2 = -20 The x term is -8x. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8x + 16 + x2 = -20 + 16 Reorder the terms: 16 + -8x + x2 = -20 + 16 Combine like terms: -20 + 16 = -4 16 + -8x + x2 = -4 Factor a perfect square on the left side: (x + -4)(x + -4) = -4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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