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Simplifying (3x + 5)(4 + -3x) = 0 Reorder the terms: (5 + 3x)(4 + -3x) = 0 Multiply (5 + 3x) * (4 + -3x) (5(4 + -3x) + 3x * (4 + -3x)) = 0 ((4 * 5 + -3x * 5) + 3x * (4 + -3x)) = 0 ((20 + -15x) + 3x * (4 + -3x)) = 0 (20 + -15x + (4 * 3x + -3x * 3x)) = 0 (20 + -15x + (12x + -9x2)) = 0 Combine like terms: -15x + 12x = -3x (20 + -3x + -9x2) = 0 Solving 20 + -3x + -9x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + -3x)(5 + 3x) = 0Subproblem 1
Set the factor '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 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 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333Subproblem 2
Set the factor '(5 + 3x)' equal to zero and attempt to solve: Simplifying 5 + 3x = 0 Solving 5 + 3x = 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 + 3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 0 + -5 3x = 0 + -5 Combine like terms: 0 + -5 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667Solution
x = {1.333333333, -1.666666667}
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