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Simplifying (3x + 2)(7x + 4) = 8 Reorder the terms: (2 + 3x)(7x + 4) = 8 Reorder the terms: (2 + 3x)(4 + 7x) = 8 Multiply (2 + 3x) * (4 + 7x) (2(4 + 7x) + 3x * (4 + 7x)) = 8 ((4 * 2 + 7x * 2) + 3x * (4 + 7x)) = 8 ((8 + 14x) + 3x * (4 + 7x)) = 8 (8 + 14x + (4 * 3x + 7x * 3x)) = 8 (8 + 14x + (12x + 21x2)) = 8 Combine like terms: 14x + 12x = 26x (8 + 26x + 21x2) = 8 Add '-8' to each side of the equation. 8 + 26x + -8 + 21x2 = 8 + -8 Reorder the terms: 8 + -8 + 26x + 21x2 = 8 + -8 Combine like terms: 8 + -8 = 0 0 + 26x + 21x2 = 8 + -8 26x + 21x2 = 8 + -8 Combine like terms: 8 + -8 = 0 26x + 21x2 = 0 Solving 26x + 21x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(26 + 21x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(26 + 21x)' equal to zero and attempt to solve: Simplifying 26 + 21x = 0 Solving 26 + 21x = 0 Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 21x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 21x = 0 + -26 21x = 0 + -26 Combine like terms: 0 + -26 = -26 21x = -26 Divide each side by '21'. x = -1.238095238 Simplifying x = -1.238095238Solution
x = {0, -1.238095238}
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