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Simplifying (x + -2)(8x + 1) = -22(x + -2) Reorder the terms: (-2 + x)(8x + 1) = -22(x + -2) Reorder the terms: (-2 + x)(1 + 8x) = -22(x + -2) Multiply (-2 + x) * (1 + 8x) (-2(1 + 8x) + x(1 + 8x)) = -22(x + -2) ((1 * -2 + 8x * -2) + x(1 + 8x)) = -22(x + -2) ((-2 + -16x) + x(1 + 8x)) = -22(x + -2) (-2 + -16x + (1 * x + 8x * x)) = -22(x + -2) (-2 + -16x + (1x + 8x2)) = -22(x + -2) Combine like terms: -16x + 1x = -15x (-2 + -15x + 8x2) = -22(x + -2) Reorder the terms: -2 + -15x + 8x2 = -22(-2 + x) -2 + -15x + 8x2 = (-2 * -22 + x * -22) -2 + -15x + 8x2 = (44 + -22x) Solving -2 + -15x + 8x2 = 44 + -22x Solving for variable 'x'. Reorder the terms: -2 + -44 + -15x + 22x + 8x2 = 44 + -22x + -44 + 22x Combine like terms: -2 + -44 = -46 -46 + -15x + 22x + 8x2 = 44 + -22x + -44 + 22x Combine like terms: -15x + 22x = 7x -46 + 7x + 8x2 = 44 + -22x + -44 + 22x Reorder the terms: -46 + 7x + 8x2 = 44 + -44 + -22x + 22x Combine like terms: 44 + -44 = 0 -46 + 7x + 8x2 = 0 + -22x + 22x -46 + 7x + 8x2 = -22x + 22x Combine like terms: -22x + 22x = 0 -46 + 7x + 8x2 = 0 Factor a trinomial. (-23 + -8x)(2 + -1x) = 0Subproblem 1
Set the factor '(-23 + -8x)' equal to zero and attempt to solve: Simplifying -23 + -8x = 0 Solving -23 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -8x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -8x = 0 + 23 -8x = 0 + 23 Combine like terms: 0 + 23 = 23 -8x = 23 Divide each side by '-8'. x = -2.875 Simplifying x = -2.875Subproblem 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 = {-2.875, 2}
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