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Simplifying -5(1 + -5x)(5c + -8x + -2) = -4x + -8x Reorder the terms: -5(1 + -5x)(-2 + 5c + -8x) = -4x + -8x Multiply (1 + -5x) * (-2 + 5c + -8x) -5(1(-2 + 5c + -8x) + -5x * (-2 + 5c + -8x)) = -4x + -8x -5((-2 * 1 + 5c * 1 + -8x * 1) + -5x * (-2 + 5c + -8x)) = -4x + -8x -5((-2 + 5c + -8x) + -5x * (-2 + 5c + -8x)) = -4x + -8x -5(-2 + 5c + -8x + (-2 * -5x + 5c * -5x + -8x * -5x)) = -4x + -8x Reorder the terms: -5(-2 + 5c + -8x + (-25cx + 10x + 40x2)) = -4x + -8x -5(-2 + 5c + -8x + (-25cx + 10x + 40x2)) = -4x + -8x Reorder the terms: -5(-2 + 5c + -25cx + -8x + 10x + 40x2) = -4x + -8x Combine like terms: -8x + 10x = 2x -5(-2 + 5c + -25cx + 2x + 40x2) = -4x + -8x (-2 * -5 + 5c * -5 + -25cx * -5 + 2x * -5 + 40x2 * -5) = -4x + -8x (10 + -25c + 125cx + -10x + -200x2) = -4x + -8x Combine like terms: -4x + -8x = -12x 10 + -25c + 125cx + -10x + -200x2 = -12x Solving 10 + -25c + 125cx + -10x + -200x2 = -12x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -25c + 125cx + -10x + -10 + -200x2 = -10 + -12x Reorder the terms: 10 + -10 + -25c + 125cx + -10x + -200x2 = -10 + -12x Combine like terms: 10 + -10 = 0 0 + -25c + 125cx + -10x + -200x2 = -10 + -12x -25c + 125cx + -10x + -200x2 = -10 + -12x Add '10x' to each side of the equation. -25c + 125cx + -10x + 10x + -200x2 = -10 + -12x + 10x Combine like terms: -10x + 10x = 0 -25c + 125cx + 0 + -200x2 = -10 + -12x + 10x -25c + 125cx + -200x2 = -10 + -12x + 10x Combine like terms: -12x + 10x = -2x -25c + 125cx + -200x2 = -10 + -2x Add '200x2' to each side of the equation. -25c + 125cx + -200x2 + 200x2 = -10 + -2x + 200x2 Combine like terms: -200x2 + 200x2 = 0 -25c + 125cx + 0 = -10 + -2x + 200x2 -25c + 125cx = -10 + -2x + 200x2 Reorder the terms: 10 + -25c + 125cx + 2x + -200x2 = -10 + -2x + 200x2 + 10 + 2x + -200x2 Reorder the terms: 10 + -25c + 125cx + 2x + -200x2 = -10 + 10 + -2x + 2x + 200x2 + -200x2 Combine like terms: -10 + 10 = 0 10 + -25c + 125cx + 2x + -200x2 = 0 + -2x + 2x + 200x2 + -200x2 10 + -25c + 125cx + 2x + -200x2 = -2x + 2x + 200x2 + -200x2 Combine like terms: -2x + 2x = 0 10 + -25c + 125cx + 2x + -200x2 = 0 + 200x2 + -200x2 10 + -25c + 125cx + 2x + -200x2 = 200x2 + -200x2 Combine like terms: 200x2 + -200x2 = 0 10 + -25c + 125cx + 2x + -200x2 = 0 The solution to this equation could not be determined.
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