2X-2=1+X-2X^2

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Solution for 2X-2=1+X-2X^2 equation: 


Simplifying
2X + -2 = 1 + X + -2X2

Reorder the terms:
-2 + 2X = 1 + X + -2X2

Solving
-2 + 2X = 1 + X + -2X2

Solving for variable 'X'.

Reorder the terms:
-2 + -1 + 2X + -1X + 2X2 = 1 + X + -2X2 + -1 + -1X + 2X2

Combine like terms: -2 + -1 = -3
-3 + 2X + -1X + 2X2 = 1 + X + -2X2 + -1 + -1X + 2X2

Combine like terms: 2X + -1X = 1X
-3 + 1X + 2X2 = 1 + X + -2X2 + -1 + -1X + 2X2

Reorder the terms:
-3 + 1X + 2X2 = 1 + -1 + X + -1X + -2X2 + 2X2

Combine like terms: 1 + -1 = 0
-3 + 1X + 2X2 = 0 + X + -1X + -2X2 + 2X2
-3 + 1X + 2X2 = X + -1X + -2X2 + 2X2

Combine like terms: X + -1X = 0
-3 + 1X + 2X2 = 0 + -2X2 + 2X2
-3 + 1X + 2X2 = -2X2 + 2X2

Combine like terms: -2X2 + 2X2 = 0
-3 + 1X + 2X2 = 0

Factor a trinomial.
(-3 + -2X)(1 + -1X) = 0


Subproblem 1
Set the factor '(-3 + -2X)' equal to zero and attempt to solve:

Simplifying
-3 + -2X = 0

Solving
-3 + -2X = 0

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

Add '3' to each side of the equation.
-3 + 3 + -2X = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2X = 0 + 3
-2X = 0 + 3

Combine like terms: 0 + 3 = 3
-2X = 3

Divide each side by '-2'.
X = -1.5

Simplifying
X = -1.5

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

Simplifying
1 + -1X = 0

Solving
1 + -1X = 0

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

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

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

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

Divide each side by '-1'.
X = 1

Simplifying
X = 1
Solution
X = {-1.5, 1}

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