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Simplifying (5x + 3)(2 + -3x) = 0 Reorder the terms: (3 + 5x)(2 + -3x) = 0 Multiply (3 + 5x) * (2 + -3x) (3(2 + -3x) + 5x * (2 + -3x)) = 0 ((2 * 3 + -3x * 3) + 5x * (2 + -3x)) = 0 ((6 + -9x) + 5x * (2 + -3x)) = 0 (6 + -9x + (2 * 5x + -3x * 5x)) = 0 (6 + -9x + (10x + -15x2)) = 0 Combine like terms: -9x + 10x = 1x (6 + 1x + -15x2) = 0 Solving 6 + 1x + -15x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -3x)(3 + 5x) = 0Subproblem 1
Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Subproblem 2
Set the factor '(3 + 5x)' equal to zero and attempt to solve: Simplifying 3 + 5x = 0 Solving 3 + 5x = 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 + 5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 0 + -3 5x = 0 + -3 Combine like terms: 0 + -3 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6Solution
x = {0.6666666667, -0.6}
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