(2x^2-5x+2)(-1-2x)+(4-x-x^2)(4x-5)=

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Solution for (2x^2-5x+2)(-1-2x)+(4-x-x^2)(4x-5)= equation: 


Simplifying
(2x2 + -5x + 2)(-1 + -2x) + (4 + -1x + -1x2)(4x + -5) = 0

Reorder the terms:
(2 + -5x + 2x2)(-1 + -2x) + (4 + -1x + -1x2)(4x + -5) = 0

Multiply (2 + -5x + 2x2) * (-1 + -2x)
(2(-1 + -2x) + -5x * (-1 + -2x) + 2x2 * (-1 + -2x)) + (4 + -1x + -1x2)(4x + -5) = 0
((-1 * 2 + -2x * 2) + -5x * (-1 + -2x) + 2x2 * (-1 + -2x)) + (4 + -1x + -1x2)(4x + -5) = 0
((-2 + -4x) + -5x * (-1 + -2x) + 2x2 * (-1 + -2x)) + (4 + -1x + -1x2)(4x + -5) = 0
(-2 + -4x + (-1 * -5x + -2x * -5x) + 2x2 * (-1 + -2x)) + (4 + -1x + -1x2)(4x + -5) = 0
(-2 + -4x + (5x + 10x2) + 2x2 * (-1 + -2x)) + (4 + -1x + -1x2)(4x + -5) = 0
(-2 + -4x + 5x + 10x2 + (-1 * 2x2 + -2x * 2x2)) + (4 + -1x + -1x2)(4x + -5) = 0
(-2 + -4x + 5x + 10x2 + (-2x2 + -4x3)) + (4 + -1x + -1x2)(4x + -5) = 0

Combine like terms: -4x + 5x = 1x
(-2 + 1x + 10x2 + -2x2 + -4x3) + (4 + -1x + -1x2)(4x + -5) = 0

Combine like terms: 10x2 + -2x2 = 8x2
(-2 + 1x + 8x2 + -4x3) + (4 + -1x + -1x2)(4x + -5) = 0

Reorder the terms:
-2 + 1x + 8x2 + -4x3 + (4 + -1x + -1x2)(-5 + 4x) = 0

Multiply (4 + -1x + -1x2) * (-5 + 4x)
-2 + 1x + 8x2 + -4x3 + (4(-5 + 4x) + -1x * (-5 + 4x) + -1x2 * (-5 + 4x)) = 0
-2 + 1x + 8x2 + -4x3 + ((-5 * 4 + 4x * 4) + -1x * (-5 + 4x) + -1x2 * (-5 + 4x)) = 0
-2 + 1x + 8x2 + -4x3 + ((-20 + 16x) + -1x * (-5 + 4x) + -1x2 * (-5 + 4x)) = 0
-2 + 1x + 8x2 + -4x3 + (-20 + 16x + (-5 * -1x + 4x * -1x) + -1x2 * (-5 + 4x)) = 0
-2 + 1x + 8x2 + -4x3 + (-20 + 16x + (5x + -4x2) + -1x2 * (-5 + 4x)) = 0
-2 + 1x + 8x2 + -4x3 + (-20 + 16x + 5x + -4x2 + (-5 * -1x2 + 4x * -1x2)) = 0
-2 + 1x + 8x2 + -4x3 + (-20 + 16x + 5x + -4x2 + (5x2 + -4x3)) = 0

Combine like terms: 16x + 5x = 21x
-2 + 1x + 8x2 + -4x3 + (-20 + 21x + -4x2 + 5x2 + -4x3) = 0

Combine like terms: -4x2 + 5x2 = 1x2
-2 + 1x + 8x2 + -4x3 + (-20 + 21x + 1x2 + -4x3) = 0

Reorder the terms:
-2 + -20 + 1x + 21x + 8x2 + 1x2 + -4x3 + -4x3 = 0

Combine like terms: -2 + -20 = -22
-22 + 1x + 21x + 8x2 + 1x2 + -4x3 + -4x3 = 0

Combine like terms: 1x + 21x = 22x
-22 + 22x + 8x2 + 1x2 + -4x3 + -4x3 = 0

Combine like terms: 8x2 + 1x2 = 9x2
-22 + 22x + 9x2 + -4x3 + -4x3 = 0

Combine like terms: -4x3 + -4x3 = -8x3
-22 + 22x + 9x2 + -8x3 = 0

Solving
-22 + 22x + 9x2 + -8x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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