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Simplifying (8x + 1 + 0)(5x + 4) = 0 Reorder the terms: (1 + 0 + 8x)(5x + 4) = 0 Combine like terms: 1 + 0 = 1 (1 + 8x)(5x + 4) = 0 Reorder the terms: (1 + 8x)(4 + 5x) = 0 Multiply (1 + 8x) * (4 + 5x) (1(4 + 5x) + 8x * (4 + 5x)) = 0 ((4 * 1 + 5x * 1) + 8x * (4 + 5x)) = 0 ((4 + 5x) + 8x * (4 + 5x)) = 0 (4 + 5x + (4 * 8x + 5x * 8x)) = 0 (4 + 5x + (32x + 40x2)) = 0 Combine like terms: 5x + 32x = 37x (4 + 37x + 40x2) = 0 Solving 4 + 37x + 40x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + 5x)(1 + 8x) = 0Subproblem 1
Set the factor '(4 + 5x)' equal to zero and attempt to solve: Simplifying 4 + 5x = 0 Solving 4 + 5x = 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 + 5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 0 + -4 5x = 0 + -4 Combine like terms: 0 + -4 = -4 5x = -4 Divide each side by '5'. x = -0.8 Simplifying x = -0.8Subproblem 2
Set the factor '(1 + 8x)' equal to zero and attempt to solve: Simplifying 1 + 8x = 0 Solving 1 + 8x = 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 + 8x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = 0 + -1 8x = 0 + -1 Combine like terms: 0 + -1 = -1 8x = -1 Divide each side by '8'. x = -0.125 Simplifying x = -0.125Solution
x = {-0.8, -0.125}
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