(2r-5t)(2r-5t)(2r-5t)(2r-5t)=

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Solution for (2r-5t)(2r-5t)(2r-5t)(2r-5t)= equation: 


Simplifying
(2r + -5t)(2r + -5t)(2r + -5t)(2r + -5t) = 0

Multiply (2r + -5t) * (2r + -5t)
(2r * (2r + -5t) + -5t * (2r + -5t))(2r + -5t)(2r + -5t) = 0
((2r * 2r + -5t * 2r) + -5t * (2r + -5t))(2r + -5t)(2r + -5t) = 0

Reorder the terms:
((-10rt + 4r2) + -5t * (2r + -5t))(2r + -5t)(2r + -5t) = 0
((-10rt + 4r2) + -5t * (2r + -5t))(2r + -5t)(2r + -5t) = 0
(-10rt + 4r2 + (2r * -5t + -5t * -5t))(2r + -5t)(2r + -5t) = 0
(-10rt + 4r2 + (-10rt + 25t2))(2r + -5t)(2r + -5t) = 0

Reorder the terms:
(-10rt + -10rt + 4r2 + 25t2)(2r + -5t)(2r + -5t) = 0

Combine like terms: -10rt + -10rt = -20rt
(-20rt + 4r2 + 25t2)(2r + -5t)(2r + -5t) = 0

Multiply (-20rt + 4r2 + 25t2) * (2r + -5t)
(-20rt * (2r + -5t) + 4r2 * (2r + -5t) + 25t2 * (2r + -5t))(2r + -5t) = 0
((2r * -20rt + -5t * -20rt) + 4r2 * (2r + -5t) + 25t2 * (2r + -5t))(2r + -5t) = 0

Reorder the terms:
((100rt2 + -40r2t) + 4r2 * (2r + -5t) + 25t2 * (2r + -5t))(2r + -5t) = 0
((100rt2 + -40r2t) + 4r2 * (2r + -5t) + 25t2 * (2r + -5t))(2r + -5t) = 0
(100rt2 + -40r2t + (2r * 4r2 + -5t * 4r2) + 25t2 * (2r + -5t))(2r + -5t) = 0

Reorder the terms:
(100rt2 + -40r2t + (-20r2t + 8r3) + 25t2 * (2r + -5t))(2r + -5t) = 0
(100rt2 + -40r2t + (-20r2t + 8r3) + 25t2 * (2r + -5t))(2r + -5t) = 0
(100rt2 + -40r2t + -20r2t + 8r3 + (2r * 25t2 + -5t * 25t2))(2r + -5t) = 0
(100rt2 + -40r2t + -20r2t + 8r3 + (50rt2 + -125t3))(2r + -5t) = 0

Reorder the terms:
(100rt2 + 50rt2 + -40r2t + -20r2t + 8r3 + -125t3)(2r + -5t) = 0

Combine like terms: 100rt2 + 50rt2 = 150rt2
(150rt2 + -40r2t + -20r2t + 8r3 + -125t3)(2r + -5t) = 0

Combine like terms: -40r2t + -20r2t = -60r2t
(150rt2 + -60r2t + 8r3 + -125t3)(2r + -5t) = 0

Multiply (150rt2 + -60r2t + 8r3 + -125t3) * (2r + -5t)
(150rt2 * (2r + -5t) + -60r2t * (2r + -5t) + 8r3 * (2r + -5t) + -125t3 * (2r + -5t)) = 0
((2r * 150rt2 + -5t * 150rt2) + -60r2t * (2r + -5t) + 8r3 * (2r + -5t) + -125t3 * (2r + -5t)) = 0

Reorder the terms:
((-750rt3 + 300r2t2) + -60r2t * (2r + -5t) + 8r3 * (2r + -5t) + -125t3 * (2r + -5t)) = 0
((-750rt3 + 300r2t2) + -60r2t * (2r + -5t) + 8r3 * (2r + -5t) + -125t3 * (2r + -5t)) = 0
(-750rt3 + 300r2t2 + (2r * -60r2t + -5t * -60r2t) + 8r3 * (2r + -5t) + -125t3 * (2r + -5t)) = 0

Reorder the terms:
(-750rt3 + 300r2t2 + (300r2t2 + -120r3t) + 8r3 * (2r + -5t) + -125t3 * (2r + -5t)) = 0
(-750rt3 + 300r2t2 + (300r2t2 + -120r3t) + 8r3 * (2r + -5t) + -125t3 * (2r + -5t)) = 0
(-750rt3 + 300r2t2 + 300r2t2 + -120r3t + (2r * 8r3 + -5t * 8r3) + -125t3 * (2r + -5t)) = 0

Reorder the terms:
(-750rt3 + 300r2t2 + 300r2t2 + -120r3t + (-40r3t + 16r4) + -125t3 * (2r + -5t)) = 0
(-750rt3 + 300r2t2 + 300r2t2 + -120r3t + (-40r3t + 16r4) + -125t3 * (2r + -5t)) = 0
(-750rt3 + 300r2t2 + 300r2t2 + -120r3t + -40r3t + 16r4 + (2r * -125t3 + -5t * -125t3)) = 0
(-750rt3 + 300r2t2 + 300r2t2 + -120r3t + -40r3t + 16r4 + (-250rt3 + 625t4)) = 0

Reorder the terms:
(-750rt3 + -250rt3 + 300r2t2 + 300r2t2 + -120r3t + -40r3t + 16r4 + 625t4) = 0

Combine like terms: -750rt3 + -250rt3 = -1000rt3
(-1000rt3 + 300r2t2 + 300r2t2 + -120r3t + -40r3t + 16r4 + 625t4) = 0

Combine like terms: 300r2t2 + 300r2t2 = 600r2t2
(-1000rt3 + 600r2t2 + -120r3t + -40r3t + 16r4 + 625t4) = 0

Combine like terms: -120r3t + -40r3t = -160r3t
(-1000rt3 + 600r2t2 + -160r3t + 16r4 + 625t4) = 0

Solving
-1000rt3 + 600r2t2 + -160r3t + 16r4 + 625t4 = 0

Solving for variable 'r'.

The solution to this equation could not be determined.

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