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Simplifying (3x + 9)(7x + 2) = 0 Reorder the terms: (9 + 3x)(7x + 2) = 0 Reorder the terms: (9 + 3x)(2 + 7x) = 0 Multiply (9 + 3x) * (2 + 7x) (9(2 + 7x) + 3x * (2 + 7x)) = 0 ((2 * 9 + 7x * 9) + 3x * (2 + 7x)) = 0 ((18 + 63x) + 3x * (2 + 7x)) = 0 (18 + 63x + (2 * 3x + 7x * 3x)) = 0 (18 + 63x + (6x + 21x2)) = 0 Combine like terms: 63x + 6x = 69x (18 + 69x + 21x2) = 0 Solving 18 + 69x + 21x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(6 + 23x + 7x2) = 0 Factor a trinomial. 3((3 + x)(2 + 7x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 2
Set the factor '(2 + 7x)' equal to zero and attempt to solve: Simplifying 2 + 7x = 0 Solving 2 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 0 + -2 7x = 0 + -2 Combine like terms: 0 + -2 = -2 7x = -2 Divide each side by '7'. x = -0.2857142857 Simplifying x = -0.2857142857Solution
x = {-3, -0.2857142857}
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