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Simplifying (7x + -7v + -5)(2x + 5) = 0 Reorder the terms: (-5 + -7v + 7x)(2x + 5) = 0 Reorder the terms: (-5 + -7v + 7x)(5 + 2x) = 0 Multiply (-5 + -7v + 7x) * (5 + 2x) (-5(5 + 2x) + -7v * (5 + 2x) + 7x * (5 + 2x)) = 0 ((5 * -5 + 2x * -5) + -7v * (5 + 2x) + 7x * (5 + 2x)) = 0 ((-25 + -10x) + -7v * (5 + 2x) + 7x * (5 + 2x)) = 0 (-25 + -10x + (5 * -7v + 2x * -7v) + 7x * (5 + 2x)) = 0 (-25 + -10x + (-35v + -14vx) + 7x * (5 + 2x)) = 0 (-25 + -10x + -35v + -14vx + (5 * 7x + 2x * 7x)) = 0 (-25 + -10x + -35v + -14vx + (35x + 14x2)) = 0 Reorder the terms: (-25 + -35v + -14vx + -10x + 35x + 14x2) = 0 Combine like terms: -10x + 35x = 25x (-25 + -35v + -14vx + 25x + 14x2) = 0 Solving -25 + -35v + -14vx + 25x + 14x2 = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '25' to each side of the equation. -25 + -35v + -14vx + 25x + 25 + 14x2 = 0 + 25 Reorder the terms: -25 + 25 + -35v + -14vx + 25x + 14x2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -35v + -14vx + 25x + 14x2 = 0 + 25 -35v + -14vx + 25x + 14x2 = 0 + 25 Combine like terms: 0 + 25 = 25 -35v + -14vx + 25x + 14x2 = 25 Add '-25x' to each side of the equation. -35v + -14vx + 25x + -25x + 14x2 = 25 + -25x Combine like terms: 25x + -25x = 0 -35v + -14vx + 0 + 14x2 = 25 + -25x -35v + -14vx + 14x2 = 25 + -25x Add '-14x2' to each side of the equation. -35v + -14vx + 14x2 + -14x2 = 25 + -25x + -14x2 Combine like terms: 14x2 + -14x2 = 0 -35v + -14vx + 0 = 25 + -25x + -14x2 -35v + -14vx = 25 + -25x + -14x2 Reorder the terms: -25 + -35v + -14vx + 25x + 14x2 = 25 + -25x + -14x2 + -25 + 25x + 14x2 Reorder the terms: -25 + -35v + -14vx + 25x + 14x2 = 25 + -25 + -25x + 25x + -14x2 + 14x2 Combine like terms: 25 + -25 = 0 -25 + -35v + -14vx + 25x + 14x2 = 0 + -25x + 25x + -14x2 + 14x2 -25 + -35v + -14vx + 25x + 14x2 = -25x + 25x + -14x2 + 14x2 Combine like terms: -25x + 25x = 0 -25 + -35v + -14vx + 25x + 14x2 = 0 + -14x2 + 14x2 -25 + -35v + -14vx + 25x + 14x2 = -14x2 + 14x2 Combine like terms: -14x2 + 14x2 = 0 -25 + -35v + -14vx + 25x + 14x2 = 0 The solution to this equation could not be determined.
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