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Simplifying (3x + -1)(5x + 2) = 0 Reorder the terms: (-1 + 3x)(5x + 2) = 0 Reorder the terms: (-1 + 3x)(2 + 5x) = 0 Multiply (-1 + 3x) * (2 + 5x) (-1(2 + 5x) + 3x * (2 + 5x)) = 0 ((2 * -1 + 5x * -1) + 3x * (2 + 5x)) = 0 ((-2 + -5x) + 3x * (2 + 5x)) = 0 (-2 + -5x + (2 * 3x + 5x * 3x)) = 0 (-2 + -5x + (6x + 15x2)) = 0 Combine like terms: -5x + 6x = 1x (-2 + 1x + 15x2) = 0 Solving -2 + 1x + 15x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -5x)(1 + -3x) = 0Subproblem 1
Set the factor '(-2 + -5x)' equal to zero and attempt to solve: Simplifying -2 + -5x = 0 Solving -2 + -5x = 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 + -5x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = 0 + 2 -5x = 0 + 2 Combine like terms: 0 + 2 = 2 -5x = 2 Divide each side by '-5'. x = -0.4 Simplifying x = -0.4Subproblem 2
Set the factor '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333Solution
x = {-0.4, 0.3333333333}
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