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Simplifying (4 + X)(5X + 9) = 0 Reorder the terms: (4 + X)(9 + 5X) = 0 Multiply (4 + X) * (9 + 5X) (4(9 + 5X) + X(9 + 5X)) = 0 ((9 * 4 + 5X * 4) + X(9 + 5X)) = 0 ((36 + 20X) + X(9 + 5X)) = 0 (36 + 20X + (9 * X + 5X * X)) = 0 (36 + 20X + (9X + 5X2)) = 0 Combine like terms: 20X + 9X = 29X (36 + 29X + 5X2) = 0 Solving 36 + 29X + 5X2 = 0 Solving for variable 'X'. Factor a trinomial. (4 + X)(9 + 5X) = 0Subproblem 1
Set the factor '(4 + X)' equal to zero and attempt to solve: Simplifying 4 + X = 0 Solving 4 + X = 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 + X = 0 + -4 Combine like terms: 4 + -4 = 0 0 + X = 0 + -4 X = 0 + -4 Combine like terms: 0 + -4 = -4 X = -4 Simplifying X = -4Subproblem 2
Set the factor '(9 + 5X)' equal to zero and attempt to solve: Simplifying 9 + 5X = 0 Solving 9 + 5X = 0 Move all terms containing X to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 5X = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5X = 0 + -9 5X = 0 + -9 Combine like terms: 0 + -9 = -9 5X = -9 Divide each side by '5'. X = -1.8 Simplifying X = -1.8Solution
X = {-4, -1.8}
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