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Simplifying (2x + -1)(x + 4) = 4x + 1 Reorder the terms: (-1 + 2x)(x + 4) = 4x + 1 Reorder the terms: (-1 + 2x)(4 + x) = 4x + 1 Multiply (-1 + 2x) * (4 + x) (-1(4 + x) + 2x * (4 + x)) = 4x + 1 ((4 * -1 + x * -1) + 2x * (4 + x)) = 4x + 1 ((-4 + -1x) + 2x * (4 + x)) = 4x + 1 (-4 + -1x + (4 * 2x + x * 2x)) = 4x + 1 (-4 + -1x + (8x + 2x2)) = 4x + 1 Combine like terms: -1x + 8x = 7x (-4 + 7x + 2x2) = 4x + 1 Reorder the terms: -4 + 7x + 2x2 = 1 + 4x Solving -4 + 7x + 2x2 = 1 + 4x Solving for variable 'x'. Reorder the terms: -4 + -1 + 7x + -4x + 2x2 = 1 + 4x + -1 + -4x Combine like terms: -4 + -1 = -5 -5 + 7x + -4x + 2x2 = 1 + 4x + -1 + -4x Combine like terms: 7x + -4x = 3x -5 + 3x + 2x2 = 1 + 4x + -1 + -4x Reorder the terms: -5 + 3x + 2x2 = 1 + -1 + 4x + -4x Combine like terms: 1 + -1 = 0 -5 + 3x + 2x2 = 0 + 4x + -4x -5 + 3x + 2x2 = 4x + -4x Combine like terms: 4x + -4x = 0 -5 + 3x + 2x2 = 0 Factor a trinomial. (-5 + -2x)(1 + -1x) = 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 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-2.5, 1}
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