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Simplifying (3x + 5)(36x2 + -25) = (x + -2)(25 + -36x2) Reorder the terms: (5 + 3x)(36x2 + -25) = (x + -2)(25 + -36x2) Reorder the terms: (5 + 3x)(-25 + 36x2) = (x + -2)(25 + -36x2) Multiply (5 + 3x) * (-25 + 36x2) (5(-25 + 36x2) + 3x * (-25 + 36x2)) = (x + -2)(25 + -36x2) ((-25 * 5 + 36x2 * 5) + 3x * (-25 + 36x2)) = (x + -2)(25 + -36x2) ((-125 + 180x2) + 3x * (-25 + 36x2)) = (x + -2)(25 + -36x2) (-125 + 180x2 + (-25 * 3x + 36x2 * 3x)) = (x + -2)(25 + -36x2) (-125 + 180x2 + (-75x + 108x3)) = (x + -2)(25 + -36x2) Reorder the terms: (-125 + -75x + 180x2 + 108x3) = (x + -2)(25 + -36x2) (-125 + -75x + 180x2 + 108x3) = (x + -2)(25 + -36x2) Reorder the terms: -125 + -75x + 180x2 + 108x3 = (-2 + x)(25 + -36x2) Multiply (-2 + x) * (25 + -36x2) -125 + -75x + 180x2 + 108x3 = (-2(25 + -36x2) + x(25 + -36x2)) -125 + -75x + 180x2 + 108x3 = ((25 * -2 + -36x2 * -2) + x(25 + -36x2)) -125 + -75x + 180x2 + 108x3 = ((-50 + 72x2) + x(25 + -36x2)) -125 + -75x + 180x2 + 108x3 = (-50 + 72x2 + (25 * x + -36x2 * x)) -125 + -75x + 180x2 + 108x3 = (-50 + 72x2 + (25x + -36x3)) Reorder the terms: -125 + -75x + 180x2 + 108x3 = (-50 + 25x + 72x2 + -36x3) -125 + -75x + 180x2 + 108x3 = (-50 + 25x + 72x2 + -36x3) Solving -125 + -75x + 180x2 + 108x3 = -50 + 25x + 72x2 + -36x3 Solving for variable 'x'. Reorder the terms: -125 + 50 + -75x + -25x + 180x2 + -72x2 + 108x3 + 36x3 = -50 + 25x + 72x2 + -36x3 + 50 + -25x + -72x2 + 36x3 Combine like terms: -125 + 50 = -75 -75 + -75x + -25x + 180x2 + -72x2 + 108x3 + 36x3 = -50 + 25x + 72x2 + -36x3 + 50 + -25x + -72x2 + 36x3 Combine like terms: -75x + -25x = -100x -75 + -100x + 180x2 + -72x2 + 108x3 + 36x3 = -50 + 25x + 72x2 + -36x3 + 50 + -25x + -72x2 + 36x3 Combine like terms: 180x2 + -72x2 = 108x2 -75 + -100x + 108x2 + 108x3 + 36x3 = -50 + 25x + 72x2 + -36x3 + 50 + -25x + -72x2 + 36x3 Combine like terms: 108x3 + 36x3 = 144x3 -75 + -100x + 108x2 + 144x3 = -50 + 25x + 72x2 + -36x3 + 50 + -25x + -72x2 + 36x3 Reorder the terms: -75 + -100x + 108x2 + 144x3 = -50 + 50 + 25x + -25x + 72x2 + -72x2 + -36x3 + 36x3 Combine like terms: -50 + 50 = 0 -75 + -100x + 108x2 + 144x3 = 0 + 25x + -25x + 72x2 + -72x2 + -36x3 + 36x3 -75 + -100x + 108x2 + 144x3 = 25x + -25x + 72x2 + -72x2 + -36x3 + 36x3 Combine like terms: 25x + -25x = 0 -75 + -100x + 108x2 + 144x3 = 0 + 72x2 + -72x2 + -36x3 + 36x3 -75 + -100x + 108x2 + 144x3 = 72x2 + -72x2 + -36x3 + 36x3 Combine like terms: 72x2 + -72x2 = 0 -75 + -100x + 108x2 + 144x3 = 0 + -36x3 + 36x3 -75 + -100x + 108x2 + 144x3 = -36x3 + 36x3 Combine like terms: -36x3 + 36x3 = 0 -75 + -100x + 108x2 + 144x3 = 0 The solution to this equation could not be determined.
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