(3x+5)(36x^2-25)=(x+2)(25-36x^2)

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Solution for (3x+5)(36x^2-25)=(x+2)(25-36x^2) equation: 


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 = -175
-175 + -75x + -25x + 180x2 + 72x2 + 108x3 + 36x3 = 50 + 25x + -72x2 + -36x3 + -50 + -25x + 72x2 + 36x3

Combine like terms: -75x + -25x = -100x
-175 + -100x + 180x2 + 72x2 + 108x3 + 36x3 = 50 + 25x + -72x2 + -36x3 + -50 + -25x + 72x2 + 36x3

Combine like terms: 180x2 + 72x2 = 252x2
-175 + -100x + 252x2 + 108x3 + 36x3 = 50 + 25x + -72x2 + -36x3 + -50 + -25x + 72x2 + 36x3

Combine like terms: 108x3 + 36x3 = 144x3
-175 + -100x + 252x2 + 144x3 = 50 + 25x + -72x2 + -36x3 + -50 + -25x + 72x2 + 36x3

Reorder the terms:
-175 + -100x + 252x2 + 144x3 = 50 + -50 + 25x + -25x + -72x2 + 72x2 + -36x3 + 36x3

Combine like terms: 50 + -50 = 0
-175 + -100x + 252x2 + 144x3 = 0 + 25x + -25x + -72x2 + 72x2 + -36x3 + 36x3
-175 + -100x + 252x2 + 144x3 = 25x + -25x + -72x2 + 72x2 + -36x3 + 36x3

Combine like terms: 25x + -25x = 0
-175 + -100x + 252x2 + 144x3 = 0 + -72x2 + 72x2 + -36x3 + 36x3
-175 + -100x + 252x2 + 144x3 = -72x2 + 72x2 + -36x3 + 36x3

Combine like terms: -72x2 + 72x2 = 0
-175 + -100x + 252x2 + 144x3 = 0 + -36x3 + 36x3
-175 + -100x + 252x2 + 144x3 = -36x3 + 36x3

Combine like terms: -36x3 + 36x3 = 0
-175 + -100x + 252x2 + 144x3 = 0

The solution to this equation could not be determined.

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