(X-1)(2x^2+x+x)=0

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Solution for (X-1)(2x^2+x+x)=0 equation: 


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

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

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

Combine like terms: x + x = 2x
(-1 + X)(2x + 2x2) = 0

Multiply (-1 + X) * (2x + 2x2)
(-1(2x + 2x2) + X(2x + 2x2)) = 0
((2x * -1 + 2x2 * -1) + X(2x + 2x2)) = 0
((-2x + -2x2) + X(2x + 2x2)) = 0
(-2x + -2x2 + (2x * X + 2x2 * X)) = 0
(-2x + -2x2 + (2xX + 2x2X)) = 0

Reorder the terms:
(-2x + 2xX + -2x2 + 2x2X) = 0
(-2x + 2xX + -2x2 + 2x2X) = 0

Solving
-2x + 2xX + -2x2 + 2x2X = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-1 + X + -1x + xX) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(-1 + X + -1x + xX)' equal to zero and attempt to solve:

Simplifying
-1 + X + -1x + xX = 0

Solving
-1 + X + -1x + xX = 0

Move all terms containing x to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + X + -1x + 1 + xX = 0 + 1

Reorder the terms:
-1 + 1 + X + -1x + xX = 0 + 1

Combine like terms: -1 + 1 = 0
0 + X + -1x + xX = 0 + 1
X + -1x + xX = 0 + 1

Combine like terms: 0 + 1 = 1
X + -1x + xX = 1

Add '-1X' to each side of the equation.
X + -1x + -1X + xX = 1 + -1X

Reorder the terms:
X + -1X + -1x + xX = 1 + -1X

Combine like terms: X + -1X = 0
0 + -1x + xX = 1 + -1X
-1x + xX = 1 + -1X

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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