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Simplifying (5x + 1)(5 + v) = 0 Reorder the terms: (1 + 5x)(5 + v) = 0 Multiply (1 + 5x) * (5 + v) (1(5 + v) + 5x * (5 + v)) = 0 ((5 * 1 + v * 1) + 5x * (5 + v)) = 0 ((5 + 1v) + 5x * (5 + v)) = 0 (5 + 1v + (5 * 5x + v * 5x)) = 0 Reorder the terms: (5 + 1v + (5vx + 25x)) = 0 (5 + 1v + (5vx + 25x)) = 0 (5 + 1v + 5vx + 25x) = 0 Solving 5 + 1v + 5vx + 25x = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 1v + 5vx + -5 + 25x = 0 + -5 Reorder the terms: 5 + -5 + 1v + 5vx + 25x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 1v + 5vx + 25x = 0 + -5 1v + 5vx + 25x = 0 + -5 Combine like terms: 0 + -5 = -5 1v + 5vx + 25x = -5 Add '-25x' to each side of the equation. 1v + 5vx + 25x + -25x = -5 + -25x Combine like terms: 25x + -25x = 0 1v + 5vx + 0 = -5 + -25x 1v + 5vx = -5 + -25x Reorder the terms: 5 + 1v + 5vx + 25x = -5 + -25x + 5 + 25x Reorder the terms: 5 + 1v + 5vx + 25x = -5 + 5 + -25x + 25x Combine like terms: -5 + 5 = 0 5 + 1v + 5vx + 25x = 0 + -25x + 25x 5 + 1v + 5vx + 25x = -25x + 25x Combine like terms: -25x + 25x = 0 5 + 1v + 5vx + 25x = 0 The solution to this equation could not be determined.
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