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Simplifying (3x + 4)(3x + -4) = 0 Reorder the terms: (4 + 3x)(3x + -4) = 0 Reorder the terms: (4 + 3x)(-4 + 3x) = 0 Multiply (4 + 3x) * (-4 + 3x) (4(-4 + 3x) + 3x * (-4 + 3x)) = 0 ((-4 * 4 + 3x * 4) + 3x * (-4 + 3x)) = 0 ((-16 + 12x) + 3x * (-4 + 3x)) = 0 (-16 + 12x + (-4 * 3x + 3x * 3x)) = 0 (-16 + 12x + (-12x + 9x2)) = 0 Combine like terms: 12x + -12x = 0 (-16 + 0 + 9x2) = 0 (-16 + 9x2) = 0 Solving -16 + 9x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 9x2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 9x2 = 0 + 16 9x2 = 0 + 16 Combine like terms: 0 + 16 = 16 9x2 = 16 Divide each side by '9'. x2 = 1.777777778 Simplifying x2 = 1.777777778 Take the square root of each side: x = {-1.333333333, 1.333333333}
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