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Simplifying (x + -8)(4x + -1) = 0 Reorder the terms: (-8 + x)(4x + -1) = 0 Reorder the terms: (-8 + x)(-1 + 4x) = 0 Multiply (-8 + x) * (-1 + 4x) (-8(-1 + 4x) + x(-1 + 4x)) = 0 ((-1 * -8 + 4x * -8) + x(-1 + 4x)) = 0 ((8 + -32x) + x(-1 + 4x)) = 0 (8 + -32x + (-1 * x + 4x * x)) = 0 (8 + -32x + (-1x + 4x2)) = 0 Combine like terms: -32x + -1x = -33x (8 + -33x + 4x2) = 0 Solving 8 + -33x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -4x)(8 + -1x) = 0Subproblem 1
Set the factor '(1 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 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 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25Subproblem 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 = {0.25, 8}
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