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Simplifying (2x + 3)(5x + -1) = 0 Reorder the terms: (3 + 2x)(5x + -1) = 0 Reorder the terms: (3 + 2x)(-1 + 5x) = 0 Multiply (3 + 2x) * (-1 + 5x) (3(-1 + 5x) + 2x * (-1 + 5x)) = 0 ((-1 * 3 + 5x * 3) + 2x * (-1 + 5x)) = 0 ((-3 + 15x) + 2x * (-1 + 5x)) = 0 (-3 + 15x + (-1 * 2x + 5x * 2x)) = 0 (-3 + 15x + (-2x + 10x2)) = 0 Combine like terms: 15x + -2x = 13x (-3 + 13x + 10x2) = 0 Solving -3 + 13x + 10x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -2x)(1 + -5x) = 0Subproblem 1
Set the factor '(-3 + -2x)' equal to zero and attempt to solve: Simplifying -3 + -2x = 0 Solving -3 + -2x = 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 + -2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 0 + 3 -2x = 0 + 3 Combine like terms: 0 + 3 = 3 -2x = 3 Divide each side by '-2'. x = -1.5 Simplifying x = -1.5Subproblem 2
Set the factor '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 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 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2Solution
x = {-1.5, 0.2}
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