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

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


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

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

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

Combine like terms: -2x + 5x = 3x
(-5 + 3x + 2x2 + -5x2 + -2x3) + (1 + -5x + -1x2)(2x + -1) = 0

Combine like terms: 2x2 + -5x2 = -3x2
(-5 + 3x + -3x2 + -2x3) + (1 + -5x + -1x2)(2x + -1) = 0

Reorder the terms:
-5 + 3x + -3x2 + -2x3 + (1 + -5x + -1x2)(-1 + 2x) = 0

Multiply (1 + -5x + -1x2) * (-1 + 2x)
-5 + 3x + -3x2 + -2x3 + (1(-1 + 2x) + -5x * (-1 + 2x) + -1x2 * (-1 + 2x)) = 0
-5 + 3x + -3x2 + -2x3 + ((-1 * 1 + 2x * 1) + -5x * (-1 + 2x) + -1x2 * (-1 + 2x)) = 0
-5 + 3x + -3x2 + -2x3 + ((-1 + 2x) + -5x * (-1 + 2x) + -1x2 * (-1 + 2x)) = 0
-5 + 3x + -3x2 + -2x3 + (-1 + 2x + (-1 * -5x + 2x * -5x) + -1x2 * (-1 + 2x)) = 0
-5 + 3x + -3x2 + -2x3 + (-1 + 2x + (5x + -10x2) + -1x2 * (-1 + 2x)) = 0
-5 + 3x + -3x2 + -2x3 + (-1 + 2x + 5x + -10x2 + (-1 * -1x2 + 2x * -1x2)) = 0
-5 + 3x + -3x2 + -2x3 + (-1 + 2x + 5x + -10x2 + (1x2 + -2x3)) = 0

Combine like terms: 2x + 5x = 7x
-5 + 3x + -3x2 + -2x3 + (-1 + 7x + -10x2 + 1x2 + -2x3) = 0

Combine like terms: -10x2 + 1x2 = -9x2
-5 + 3x + -3x2 + -2x3 + (-1 + 7x + -9x2 + -2x3) = 0

Reorder the terms:
-5 + -1 + 3x + 7x + -3x2 + -9x2 + -2x3 + -2x3 = 0

Combine like terms: -5 + -1 = -6
-6 + 3x + 7x + -3x2 + -9x2 + -2x3 + -2x3 = 0

Combine like terms: 3x + 7x = 10x
-6 + 10x + -3x2 + -9x2 + -2x3 + -2x3 = 0

Combine like terms: -3x2 + -9x2 = -12x2
-6 + 10x + -12x2 + -2x3 + -2x3 = 0

Combine like terms: -2x3 + -2x3 = -4x3
-6 + 10x + -12x2 + -4x3 = 0

Solving
-6 + 10x + -12x2 + -4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + 5x + -6x2 + -2x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-3 + 5x + -6x2 + -2x3)' equal to zero and attempt to solve:

Simplifying
-3 + 5x + -6x2 + -2x3 = 0

Solving
-3 + 5x + -6x2 + -2x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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