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Simplifying (x + 5)(2x + -1) = 0 Reorder the terms: (5 + x)(2x + -1) = 0 Reorder the terms: (5 + x)(-1 + 2x) = 0 Multiply (5 + x) * (-1 + 2x) (5(-1 + 2x) + x(-1 + 2x)) = 0 ((-1 * 5 + 2x * 5) + x(-1 + 2x)) = 0 ((-5 + 10x) + x(-1 + 2x)) = 0 (-5 + 10x + (-1 * x + 2x * x)) = 0 (-5 + 10x + (-1x + 2x2)) = 0 Combine like terms: 10x + -1x = 9x (-5 + 9x + 2x2) = 0 Solving -5 + 9x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -1x)(1 + -2x) = 0Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve: Simplifying -5 + -1x = 0 Solving -5 + -1x = 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 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5Subproblem 2
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 = 0.5Solution
x = {-5, 0.5}
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