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Simplifying (6x + 0.833)(6x + -0.833) = 0 Reorder the terms: (0.833 + 6x)(6x + -0.833) = 0 Reorder the terms: (0.833 + 6x)(-0.833 + 6x) = 0 Multiply (0.833 + 6x) * (-0.833 + 6x) (0.833(-0.833 + 6x) + 6x * (-0.833 + 6x)) = 0 ((-0.833 * 0.833 + 6x * 0.833) + 6x * (-0.833 + 6x)) = 0 ((-0.693889 + 4.998x) + 6x * (-0.833 + 6x)) = 0 (-0.693889 + 4.998x + (-0.833 * 6x + 6x * 6x)) = 0 (-0.693889 + 4.998x + (-4.998x + 36x2)) = 0 Combine like terms: 4.998x + -4.998x = 0.000 (-0.693889 + 0.000 + 36x2) = 0 (-0.693889 + 36x2) = 0 Solving -0.693889 + 36x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.693889' to each side of the equation. -0.693889 + 0.693889 + 36x2 = 0 + 0.693889 Combine like terms: -0.693889 + 0.693889 = 0.000000 0.000000 + 36x2 = 0 + 0.693889 36x2 = 0 + 0.693889 Combine like terms: 0 + 0.693889 = 0.693889 36x2 = 0.693889 Divide each side by '36'. x2 = 0.01927469444 Simplifying x2 = 0.01927469444 Take the square root of each side: x = {-0.138833333, 0.138833333}
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