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Simplifying (2x + 5)(2x + -1) = 0 Reorder the terms: (5 + 2x)(2x + -1) = 0 Reorder the terms: (5 + 2x)(-1 + 2x) = 0 Multiply (5 + 2x) * (-1 + 2x) (5(-1 + 2x) + 2x * (-1 + 2x)) = 0 ((-1 * 5 + 2x * 5) + 2x * (-1 + 2x)) = 0 ((-5 + 10x) + 2x * (-1 + 2x)) = 0 (-5 + 10x + (-1 * 2x + 2x * 2x)) = 0 (-5 + 10x + (-2x + 4x2)) = 0 Combine like terms: 10x + -2x = 8x (-5 + 8x + 4x2) = 0 Solving -5 + 8x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -2x)(1 + -2x) = 0Subproblem 1
Set the factor '(-5 + -2x)' equal to zero and attempt to solve: Simplifying -5 + -2x = 0 Solving -5 + -2x = 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 + -2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 0 + 5 -2x = 0 + 5 Combine like terms: 0 + 5 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5Subproblem 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 = {-2.5, 0.5}
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