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Simplifying ((6x2) + (8x))(16x) = 0 Reorder the terms: ((8x) + (6x2))(16x) = 0 Remove parenthesis around (16x) ((8x) + (6x2)) * 16x = 0 Reorder the terms for easier multiplication: 16x((8x) + (6x2)) = 0 ((8x) * 16x + (6x2) * 16x) = 0 (128x2 + 96x3) = 0 Solving 128x2 + 96x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '32x2'. 32x2(4 + 3x) = 0 Ignore the factor 32.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(4 + 3x)' equal to zero and attempt to solve: Simplifying 4 + 3x = 0 Solving 4 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 0 + -4 3x = 0 + -4 Combine like terms: 0 + -4 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333Solution
x = {0, -1.333333333}
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