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Simplifying (7x + 4)(3x + 1) = 0 Reorder the terms: (4 + 7x)(3x + 1) = 0 Reorder the terms: (4 + 7x)(1 + 3x) = 0 Multiply (4 + 7x) * (1 + 3x) (4(1 + 3x) + 7x * (1 + 3x)) = 0 ((1 * 4 + 3x * 4) + 7x * (1 + 3x)) = 0 ((4 + 12x) + 7x * (1 + 3x)) = 0 (4 + 12x + (1 * 7x + 3x * 7x)) = 0 (4 + 12x + (7x + 21x2)) = 0 Combine like terms: 12x + 7x = 19x (4 + 19x + 21x2) = 0 Solving 4 + 19x + 21x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + 7x)(1 + 3x) = 0Subproblem 1
Set the factor '(4 + 7x)' equal to zero and attempt to solve: Simplifying 4 + 7x = 0 Solving 4 + 7x = 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 + 7x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = 0 + -4 7x = 0 + -4 Combine like terms: 0 + -4 = -4 7x = -4 Divide each side by '7'. x = -0.5714285714 Simplifying x = -0.5714285714Subproblem 2
Set the factor '(1 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333Solution
x = {-0.5714285714, -0.3333333333}
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