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Simplifying (5x + -6)(2X + 5) = 0 Reorder the terms: (-6 + 5x)(2X + 5) = 0 Reorder the terms: (-6 + 5x)(5 + 2X) = 0 Multiply (-6 + 5x) * (5 + 2X) (-6(5 + 2X) + 5x * (5 + 2X)) = 0 ((5 * -6 + 2X * -6) + 5x * (5 + 2X)) = 0 ((-30 + -12X) + 5x * (5 + 2X)) = 0 (-30 + -12X + (5 * 5x + 2X * 5x)) = 0 (-30 + -12X + (25x + 10xX)) = 0 (-30 + -12X + 25x + 10xX) = 0 Solving -30 + -12X + 25x + 10xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '30' to each side of the equation. -30 + -12X + 25x + 30 + 10xX = 0 + 30 Reorder the terms: -30 + 30 + -12X + 25x + 10xX = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -12X + 25x + 10xX = 0 + 30 -12X + 25x + 10xX = 0 + 30 Combine like terms: 0 + 30 = 30 -12X + 25x + 10xX = 30 Add '-25x' to each side of the equation. -12X + 25x + -25x + 10xX = 30 + -25x Combine like terms: 25x + -25x = 0 -12X + 0 + 10xX = 30 + -25x -12X + 10xX = 30 + -25x Reorder the terms: -30 + -12X + 25x + 10xX = 30 + -25x + -30 + 25x Reorder the terms: -30 + -12X + 25x + 10xX = 30 + -30 + -25x + 25x Combine like terms: 30 + -30 = 0 -30 + -12X + 25x + 10xX = 0 + -25x + 25x -30 + -12X + 25x + 10xX = -25x + 25x Combine like terms: -25x + 25x = 0 -30 + -12X + 25x + 10xX = 0 The solution to this equation could not be determined.
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