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Simplifying (3x + -8)(3x + 8) = 0 Reorder the terms: (-8 + 3x)(3x + 8) = 0 Reorder the terms: (-8 + 3x)(8 + 3x) = 0 Multiply (-8 + 3x) * (8 + 3x) (-8(8 + 3x) + 3x * (8 + 3x)) = 0 ((8 * -8 + 3x * -8) + 3x * (8 + 3x)) = 0 ((-64 + -24x) + 3x * (8 + 3x)) = 0 (-64 + -24x + (8 * 3x + 3x * 3x)) = 0 (-64 + -24x + (24x + 9x2)) = 0 Combine like terms: -24x + 24x = 0 (-64 + 0 + 9x2) = 0 (-64 + 9x2) = 0 Solving -64 + 9x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + 9x2 = 0 + 64 Combine like terms: -64 + 64 = 0 0 + 9x2 = 0 + 64 9x2 = 0 + 64 Combine like terms: 0 + 64 = 64 9x2 = 64 Divide each side by '9'. x2 = 7.111111111 Simplifying x2 = 7.111111111 Take the square root of each side: x = {-2.666666667, 2.666666667}
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