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Simplifying (x + -8)(5x + 4) + -1(x + -8)(2x + 6) = 0 Reorder the terms: (-8 + x)(5x + 4) + -1(x + -8)(2x + 6) = 0 Reorder the terms: (-8 + x)(4 + 5x) + -1(x + -8)(2x + 6) = 0 Multiply (-8 + x) * (4 + 5x) (-8(4 + 5x) + x(4 + 5x)) + -1(x + -8)(2x + 6) = 0 ((4 * -8 + 5x * -8) + x(4 + 5x)) + -1(x + -8)(2x + 6) = 0 ((-32 + -40x) + x(4 + 5x)) + -1(x + -8)(2x + 6) = 0 (-32 + -40x + (4 * x + 5x * x)) + -1(x + -8)(2x + 6) = 0 (-32 + -40x + (4x + 5x2)) + -1(x + -8)(2x + 6) = 0 Combine like terms: -40x + 4x = -36x (-32 + -36x + 5x2) + -1(x + -8)(2x + 6) = 0 Reorder the terms: -32 + -36x + 5x2 + -1(-8 + x)(2x + 6) = 0 Reorder the terms: -32 + -36x + 5x2 + -1(-8 + x)(6 + 2x) = 0 Multiply (-8 + x) * (6 + 2x) -32 + -36x + 5x2 + -1(-8(6 + 2x) + x(6 + 2x)) = 0 -32 + -36x + 5x2 + -1((6 * -8 + 2x * -8) + x(6 + 2x)) = 0 -32 + -36x + 5x2 + -1((-48 + -16x) + x(6 + 2x)) = 0 -32 + -36x + 5x2 + -1(-48 + -16x + (6 * x + 2x * x)) = 0 -32 + -36x + 5x2 + -1(-48 + -16x + (6x + 2x2)) = 0 Combine like terms: -16x + 6x = -10x -32 + -36x + 5x2 + -1(-48 + -10x + 2x2) = 0 -32 + -36x + 5x2 + (-48 * -1 + -10x * -1 + 2x2 * -1) = 0 -32 + -36x + 5x2 + (48 + 10x + -2x2) = 0 Reorder the terms: -32 + 48 + -36x + 10x + 5x2 + -2x2 = 0 Combine like terms: -32 + 48 = 16 16 + -36x + 10x + 5x2 + -2x2 = 0 Combine like terms: -36x + 10x = -26x 16 + -26x + 5x2 + -2x2 = 0 Combine like terms: 5x2 + -2x2 = 3x2 16 + -26x + 3x2 = 0 Solving 16 + -26x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -3x)(8 + -1x) = 0Subproblem 1
Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {0.6666666667, 8}
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