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Simplifying (2x + 1)(-1x + 4) = 0 Reorder the terms: (1 + 2x)(-1x + 4) = 0 Reorder the terms: (1 + 2x)(4 + -1x) = 0 Multiply (1 + 2x) * (4 + -1x) (1(4 + -1x) + 2x * (4 + -1x)) = 0 ((4 * 1 + -1x * 1) + 2x * (4 + -1x)) = 0 ((4 + -1x) + 2x * (4 + -1x)) = 0 (4 + -1x + (4 * 2x + -1x * 2x)) = 0 (4 + -1x + (8x + -2x2)) = 0 Combine like terms: -1x + 8x = 7x (4 + 7x + -2x2) = 0 Solving 4 + 7x + -2x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + -1x)(1 + 2x) = 0Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 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 = {4, -0.5}
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