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Simplifying (x + 3)(2x + 7) = 0 Reorder the terms: (3 + x)(2x + 7) = 0 Reorder the terms: (3 + x)(7 + 2x) = 0 Multiply (3 + x) * (7 + 2x) (3(7 + 2x) + x(7 + 2x)) = 0 ((7 * 3 + 2x * 3) + x(7 + 2x)) = 0 ((21 + 6x) + x(7 + 2x)) = 0 (21 + 6x + (7 * x + 2x * x)) = 0 (21 + 6x + (7x + 2x2)) = 0 Combine like terms: 6x + 7x = 13x (21 + 13x + 2x2) = 0 Solving 21 + 13x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + 2x)(3 + x) = 0Subproblem 1
Set the factor '(7 + 2x)' equal to zero and attempt to solve: Simplifying 7 + 2x = 0 Solving 7 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 0 + -7 2x = 0 + -7 Combine like terms: 0 + -7 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5Subproblem 2
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 = -3Solution
x = {-3.5, -3}
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