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Simplifying (x + 3)(x + 3) = 8x Reorder the terms: (3 + x)(x + 3) = 8x Reorder the terms: (3 + x)(3 + x) = 8x Multiply (3 + x) * (3 + x) (3(3 + x) + x(3 + x)) = 8x ((3 * 3 + x * 3) + x(3 + x)) = 8x ((9 + 3x) + x(3 + x)) = 8x (9 + 3x + (3 * x + x * x)) = 8x (9 + 3x + (3x + x2)) = 8x Combine like terms: 3x + 3x = 6x (9 + 6x + x2) = 8x Solving 9 + 6x + x2 = 8x Solving for variable 'x'. Reorder the terms: 9 + 6x + -8x + x2 = 8x + -8x Combine like terms: 6x + -8x = -2x 9 + -2x + x2 = 8x + -8x Combine like terms: 8x + -8x = 0 9 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-9' to each side of the equation. 9 + -2x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + -2x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x + x2 = 0 + -9 -2x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 -2x + x2 = -9 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -9 + 1 Reorder the terms: 1 + -2x + x2 = -9 + 1 Combine like terms: -9 + 1 = -8 1 + -2x + x2 = -8 Factor a perfect square on the left side: (x + -1)(x + -1) = -8 Can't calculate square root of the right side. The solution to this equation could not be determined.
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