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Simplifying (3 + 4x)(5 + 6x) = 0 Multiply (3 + 4x) * (5 + 6x) (3(5 + 6x) + 4x * (5 + 6x)) = 0 ((5 * 3 + 6x * 3) + 4x * (5 + 6x)) = 0 ((15 + 18x) + 4x * (5 + 6x)) = 0 (15 + 18x + (5 * 4x + 6x * 4x)) = 0 (15 + 18x + (20x + 24x2)) = 0 Combine like terms: 18x + 20x = 38x (15 + 38x + 24x2) = 0 Solving 15 + 38x + 24x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + 6x)(3 + 4x) = 0Subproblem 1
Set the factor '(5 + 6x)' equal to zero and attempt to solve: Simplifying 5 + 6x = 0 Solving 5 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 6x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 0 + -5 6x = 0 + -5 Combine like terms: 0 + -5 = -5 6x = -5 Divide each side by '6'. x = -0.8333333333 Simplifying x = -0.8333333333Subproblem 2
Set the factor '(3 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 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 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75Solution
x = {-0.8333333333, -0.75}
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