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Simplifying (0.5x + -1)(4x + 2) = 0 Reorder the terms: (-1 + 0.5x)(4x + 2) = 0 Reorder the terms: (-1 + 0.5x)(2 + 4x) = 0 Multiply (-1 + 0.5x) * (2 + 4x) (-1(2 + 4x) + 0.5x * (2 + 4x)) = 0 ((2 * -1 + 4x * -1) + 0.5x * (2 + 4x)) = 0 ((-2 + -4x) + 0.5x * (2 + 4x)) = 0 (-2 + -4x + (2 * 0.5x + 4x * 0.5x)) = 0 (-2 + -4x + (1x + 2x2)) = 0 Combine like terms: -4x + 1x = -3x (-2 + -3x + 2x2) = 0 Solving -2 + -3x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -2x)(2 + -1x) = 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 '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-0.5, 2}
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