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Simplifying (2x + 3)(10x + 9) = 0 Reorder the terms: (3 + 2x)(10x + 9) = 0 Reorder the terms: (3 + 2x)(9 + 10x) = 0 Multiply (3 + 2x) * (9 + 10x) (3(9 + 10x) + 2x * (9 + 10x)) = 0 ((9 * 3 + 10x * 3) + 2x * (9 + 10x)) = 0 ((27 + 30x) + 2x * (9 + 10x)) = 0 (27 + 30x + (9 * 2x + 10x * 2x)) = 0 (27 + 30x + (18x + 20x2)) = 0 Combine like terms: 30x + 18x = 48x (27 + 48x + 20x2) = 0 Solving 27 + 48x + 20x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + 2x)(9 + 10x) = 0Subproblem 1
Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 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 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Subproblem 2
Set the factor '(9 + 10x)' equal to zero and attempt to solve: Simplifying 9 + 10x = 0 Solving 9 + 10x = 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 + 10x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 10x = 0 + -9 10x = 0 + -9 Combine like terms: 0 + -9 = -9 10x = -9 Divide each side by '10'. x = -0.9 Simplifying x = -0.9Solution
x = {-1.5, -0.9}
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