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Simplifying (5x + -1)(-2x + 1) = 0 Reorder the terms: (-1 + 5x)(-2x + 1) = 0 Reorder the terms: (-1 + 5x)(1 + -2x) = 0 Multiply (-1 + 5x) * (1 + -2x) (-1(1 + -2x) + 5x * (1 + -2x)) = 0 ((1 * -1 + -2x * -1) + 5x * (1 + -2x)) = 0 ((-1 + 2x) + 5x * (1 + -2x)) = 0 (-1 + 2x + (1 * 5x + -2x * 5x)) = 0 (-1 + 2x + (5x + -10x2)) = 0 Combine like terms: 2x + 5x = 7x (-1 + 7x + -10x2) = 0 Solving -1 + 7x + -10x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + 2x)(1 + -5x) = 0Subproblem 1
Set the factor '(-1 + 2x)' equal to zero and attempt to solve: Simplifying -1 + 2x = 0 Solving -1 + 2x = 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 + 2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 0 + 1 2x = 0 + 1 Combine like terms: 0 + 1 = 1 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5Subproblem 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 = {0.5, 0.2}
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