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Simplifying (X + -8)(3x + 10) = 0 Reorder the terms: (-8 + X)(3x + 10) = 0 Reorder the terms: (-8 + X)(10 + 3x) = 0 Multiply (-8 + X) * (10 + 3x) (-8(10 + 3x) + X(10 + 3x)) = 0 ((10 * -8 + 3x * -8) + X(10 + 3x)) = 0 ((-80 + -24x) + X(10 + 3x)) = 0 (-80 + -24x + (10 * X + 3x * X)) = 0 (-80 + -24x + (10X + 3xX)) = 0 Reorder the terms: (-80 + 10X + -24x + 3xX) = 0 (-80 + 10X + -24x + 3xX) = 0 Solving -80 + 10X + -24x + 3xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '80' to each side of the equation. -80 + 10X + -24x + 80 + 3xX = 0 + 80 Reorder the terms: -80 + 80 + 10X + -24x + 3xX = 0 + 80 Combine like terms: -80 + 80 = 0 0 + 10X + -24x + 3xX = 0 + 80 10X + -24x + 3xX = 0 + 80 Combine like terms: 0 + 80 = 80 10X + -24x + 3xX = 80 Add '24x' to each side of the equation. 10X + -24x + 24x + 3xX = 80 + 24x Combine like terms: -24x + 24x = 0 10X + 0 + 3xX = 80 + 24x 10X + 3xX = 80 + 24x Reorder the terms: -80 + 10X + -24x + 3xX = 80 + 24x + -80 + -24x Reorder the terms: -80 + 10X + -24x + 3xX = 80 + -80 + 24x + -24x Combine like terms: 80 + -80 = 0 -80 + 10X + -24x + 3xX = 0 + 24x + -24x -80 + 10X + -24x + 3xX = 24x + -24x Combine like terms: 24x + -24x = 0 -80 + 10X + -24x + 3xX = 0 The solution to this equation could not be determined.
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