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Simplifying (3x + -2v + -2)(6x + 5) = 0 Reorder the terms: (-2 + -2v + 3x)(6x + 5) = 0 Reorder the terms: (-2 + -2v + 3x)(5 + 6x) = 0 Multiply (-2 + -2v + 3x) * (5 + 6x) (-2(5 + 6x) + -2v * (5 + 6x) + 3x * (5 + 6x)) = 0 ((5 * -2 + 6x * -2) + -2v * (5 + 6x) + 3x * (5 + 6x)) = 0 ((-10 + -12x) + -2v * (5 + 6x) + 3x * (5 + 6x)) = 0 (-10 + -12x + (5 * -2v + 6x * -2v) + 3x * (5 + 6x)) = 0 (-10 + -12x + (-10v + -12vx) + 3x * (5 + 6x)) = 0 (-10 + -12x + -10v + -12vx + (5 * 3x + 6x * 3x)) = 0 (-10 + -12x + -10v + -12vx + (15x + 18x2)) = 0 Reorder the terms: (-10 + -10v + -12vx + -12x + 15x + 18x2) = 0 Combine like terms: -12x + 15x = 3x (-10 + -10v + -12vx + 3x + 18x2) = 0 Solving -10 + -10v + -12vx + 3x + 18x2 = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '10' to each side of the equation. -10 + -10v + -12vx + 3x + 10 + 18x2 = 0 + 10 Reorder the terms: -10 + 10 + -10v + -12vx + 3x + 18x2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -10v + -12vx + 3x + 18x2 = 0 + 10 -10v + -12vx + 3x + 18x2 = 0 + 10 Combine like terms: 0 + 10 = 10 -10v + -12vx + 3x + 18x2 = 10 Add '-3x' to each side of the equation. -10v + -12vx + 3x + -3x + 18x2 = 10 + -3x Combine like terms: 3x + -3x = 0 -10v + -12vx + 0 + 18x2 = 10 + -3x -10v + -12vx + 18x2 = 10 + -3x Add '-18x2' to each side of the equation. -10v + -12vx + 18x2 + -18x2 = 10 + -3x + -18x2 Combine like terms: 18x2 + -18x2 = 0 -10v + -12vx + 0 = 10 + -3x + -18x2 -10v + -12vx = 10 + -3x + -18x2 Reorder the terms: -10 + -10v + -12vx + 3x + 18x2 = 10 + -3x + -18x2 + -10 + 3x + 18x2 Reorder the terms: -10 + -10v + -12vx + 3x + 18x2 = 10 + -10 + -3x + 3x + -18x2 + 18x2 Combine like terms: 10 + -10 = 0 -10 + -10v + -12vx + 3x + 18x2 = 0 + -3x + 3x + -18x2 + 18x2 -10 + -10v + -12vx + 3x + 18x2 = -3x + 3x + -18x2 + 18x2 Combine like terms: -3x + 3x = 0 -10 + -10v + -12vx + 3x + 18x2 = 0 + -18x2 + 18x2 -10 + -10v + -12vx + 3x + 18x2 = -18x2 + 18x2 Combine like terms: -18x2 + 18x2 = 0 -10 + -10v + -12vx + 3x + 18x2 = 0 The solution to this equation could not be determined.
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