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Simplifying (25X + -2)(2x + -1)(x + -3) = 0 Reorder the terms: (-2 + 25X)(2x + -1)(x + -3) = 0 Reorder the terms: (-2 + 25X)(-1 + 2x)(x + -3) = 0 Reorder the terms: (-2 + 25X)(-1 + 2x)(-3 + x) = 0 Multiply (-2 + 25X) * (-1 + 2x) (-2(-1 + 2x) + 25X * (-1 + 2x))(-3 + x) = 0 ((-1 * -2 + 2x * -2) + 25X * (-1 + 2x))(-3 + x) = 0 ((2 + -4x) + 25X * (-1 + 2x))(-3 + x) = 0 (2 + -4x + (-1 * 25X + 2x * 25X))(-3 + x) = 0 (2 + -4x + (-25X + 50xX))(-3 + x) = 0 Reorder the terms: (2 + -25X + -4x + 50xX)(-3 + x) = 0 (2 + -25X + -4x + 50xX)(-3 + x) = 0 Multiply (2 + -25X + -4x + 50xX) * (-3 + x) (2(-3 + x) + -25X * (-3 + x) + -4x * (-3 + x) + 50xX * (-3 + x)) = 0 ((-3 * 2 + x * 2) + -25X * (-3 + x) + -4x * (-3 + x) + 50xX * (-3 + x)) = 0 ((-6 + 2x) + -25X * (-3 + x) + -4x * (-3 + x) + 50xX * (-3 + x)) = 0 (-6 + 2x + (-3 * -25X + x * -25X) + -4x * (-3 + x) + 50xX * (-3 + x)) = 0 (-6 + 2x + (75X + -25xX) + -4x * (-3 + x) + 50xX * (-3 + x)) = 0 (-6 + 2x + 75X + -25xX + (-3 * -4x + x * -4x) + 50xX * (-3 + x)) = 0 (-6 + 2x + 75X + -25xX + (12x + -4x2) + 50xX * (-3 + x)) = 0 (-6 + 2x + 75X + -25xX + 12x + -4x2 + (-3 * 50xX + x * 50xX)) = 0 (-6 + 2x + 75X + -25xX + 12x + -4x2 + (-150xX + 50x2X)) = 0 Reorder the terms: (-6 + 75X + 2x + 12x + -25xX + -150xX + -4x2 + 50x2X) = 0 Combine like terms: 2x + 12x = 14x (-6 + 75X + 14x + -25xX + -150xX + -4x2 + 50x2X) = 0 Combine like terms: -25xX + -150xX = -175xX (-6 + 75X + 14x + -175xX + -4x2 + 50x2X) = 0 Solving -6 + 75X + 14x + -175xX + -4x2 + 50x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 75X + 14x + -175xX + -4x2 + 6 + 50x2X = 0 + 6 Reorder the terms: -6 + 6 + 75X + 14x + -175xX + -4x2 + 50x2X = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 75X + 14x + -175xX + -4x2 + 50x2X = 0 + 6 75X + 14x + -175xX + -4x2 + 50x2X = 0 + 6 Combine like terms: 0 + 6 = 6 75X + 14x + -175xX + -4x2 + 50x2X = 6 Add '-14x' to each side of the equation. 75X + 14x + -175xX + -4x2 + -14x + 50x2X = 6 + -14x Reorder the terms: 75X + 14x + -14x + -175xX + -4x2 + 50x2X = 6 + -14x Combine like terms: 14x + -14x = 0 75X + 0 + -175xX + -4x2 + 50x2X = 6 + -14x 75X + -175xX + -4x2 + 50x2X = 6 + -14x Add '4x2' to each side of the equation. 75X + -175xX + -4x2 + 4x2 + 50x2X = 6 + -14x + 4x2 Combine like terms: -4x2 + 4x2 = 0 75X + -175xX + 0 + 50x2X = 6 + -14x + 4x2 75X + -175xX + 50x2X = 6 + -14x + 4x2 Reorder the terms: -6 + 75X + 14x + -175xX + -4x2 + 50x2X = 6 + -14x + 4x2 + -6 + 14x + -4x2 Reorder the terms: -6 + 75X + 14x + -175xX + -4x2 + 50x2X = 6 + -6 + -14x + 14x + 4x2 + -4x2 Combine like terms: 6 + -6 = 0 -6 + 75X + 14x + -175xX + -4x2 + 50x2X = 0 + -14x + 14x + 4x2 + -4x2 -6 + 75X + 14x + -175xX + -4x2 + 50x2X = -14x + 14x + 4x2 + -4x2 Combine like terms: -14x + 14x = 0 -6 + 75X + 14x + -175xX + -4x2 + 50x2X = 0 + 4x2 + -4x2 -6 + 75X + 14x + -175xX + -4x2 + 50x2X = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -6 + 75X + 14x + -175xX + -4x2 + 50x2X = 0 The solution to this equation could not be determined.
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