2X^2-2X=2X-20

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Solution for 2X^2-2X=2X-20 equation: 


Simplifying
2X2 + -2X = 2X + -20

Reorder the terms:
-2X + 2X2 = 2X + -20

Reorder the terms:
-2X + 2X2 = -20 + 2X

Solving
-2X + 2X2 = -20 + 2X

Solving for variable 'X'.

Reorder the terms:
20 + -2X + -2X + 2X2 = -20 + 2X + 20 + -2X

Combine like terms: -2X + -2X = -4X
20 + -4X + 2X2 = -20 + 2X + 20 + -2X

Reorder the terms:
20 + -4X + 2X2 = -20 + 20 + 2X + -2X

Combine like terms: -20 + 20 = 0
20 + -4X + 2X2 = 0 + 2X + -2X
20 + -4X + 2X2 = 2X + -2X

Combine like terms: 2X + -2X = 0
20 + -4X + 2X2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(10 + -2X + X2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(10 + -2X + X2)' equal to zero and attempt to solve:

Simplifying
10 + -2X + X2 = 0

Solving
10 + -2X + X2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + -2X + -10 + X2 = 0 + -10

Reorder the terms:
10 + -10 + -2X + X2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -2X + X2 = 0 + -10
-2X + X2 = 0 + -10

Combine like terms: 0 + -10 = -10
-2X + X2 = -10

The X term is -2X.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2X + 1 + X2 = -10 + 1

Reorder the terms:
1 + -2X + X2 = -10 + 1

Combine like terms: -10 + 1 = -9
1 + -2X + X2 = -9

Factor a perfect square on the left side:
(X + -1)(X + -1) = -9

Can't calculate square root of the right side.

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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