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Simplifying (3x + 2)(3x + -2) = 77 Reorder the terms: (2 + 3x)(3x + -2) = 77 Reorder the terms: (2 + 3x)(-2 + 3x) = 77 Multiply (2 + 3x) * (-2 + 3x) (2(-2 + 3x) + 3x * (-2 + 3x)) = 77 ((-2 * 2 + 3x * 2) + 3x * (-2 + 3x)) = 77 ((-4 + 6x) + 3x * (-2 + 3x)) = 77 (-4 + 6x + (-2 * 3x + 3x * 3x)) = 77 (-4 + 6x + (-6x + 9x2)) = 77 Combine like terms: 6x + -6x = 0 (-4 + 0 + 9x2) = 77 (-4 + 9x2) = 77 Solving -4 + 9x2 = 77 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 9x2 = 77 + 4 Combine like terms: -4 + 4 = 0 0 + 9x2 = 77 + 4 9x2 = 77 + 4 Combine like terms: 77 + 4 = 81 9x2 = 81 Divide each side by '9'. x2 = 9 Simplifying x2 = 9 Take the square root of each side: x = {-3, 3}
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