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Simplifying (2x + -1)(x + 4) = 18 Reorder the terms: (-1 + 2x)(x + 4) = 18 Reorder the terms: (-1 + 2x)(4 + x) = 18 Multiply (-1 + 2x) * (4 + x) (-1(4 + x) + 2x * (4 + x)) = 18 ((4 * -1 + x * -1) + 2x * (4 + x)) = 18 ((-4 + -1x) + 2x * (4 + x)) = 18 (-4 + -1x + (4 * 2x + x * 2x)) = 18 (-4 + -1x + (8x + 2x2)) = 18 Combine like terms: -1x + 8x = 7x (-4 + 7x + 2x2) = 18 Solving -4 + 7x + 2x2 = 18 Solving for variable 'x'. Reorder the terms: -4 + -18 + 7x + 2x2 = 18 + -18 Combine like terms: -4 + -18 = -22 -22 + 7x + 2x2 = 18 + -18 Combine like terms: 18 + -18 = 0 -22 + 7x + 2x2 = 0 Factor a trinomial. (-11 + -2x)(2 + -1x) = 0Subproblem 1
Set the factor '(-11 + -2x)' equal to zero and attempt to solve: Simplifying -11 + -2x = 0 Solving -11 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -2x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -2x = 0 + 11 -2x = 0 + 11 Combine like terms: 0 + 11 = 11 -2x = 11 Divide each side by '-2'. x = -5.5 Simplifying x = -5.5Subproblem 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 = {-5.5, 2}
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