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Simplifying (5x + -2)(3x + 5) = 0 Reorder the terms: (-2 + 5x)(3x + 5) = 0 Reorder the terms: (-2 + 5x)(5 + 3x) = 0 Multiply (-2 + 5x) * (5 + 3x) (-2(5 + 3x) + 5x * (5 + 3x)) = 0 ((5 * -2 + 3x * -2) + 5x * (5 + 3x)) = 0 ((-10 + -6x) + 5x * (5 + 3x)) = 0 (-10 + -6x + (5 * 5x + 3x * 5x)) = 0 (-10 + -6x + (25x + 15x^{2})) = 0 Combine like terms: -6x + 25x = 19x (-10 + 19x + 15x^{2}) = 0 Solving -10 + 19x + 15x^{2}= 0 Solving for variable 'x'. Factor a trinomial. (-5 + -3x)(2 + -5x) = 0## Subproblem 1

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 = -1.666666667## Subproblem 2

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 = 0.4## Solution

x = {-1.666666667, 0.4}

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