2x^2+2x+4=4x+4

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Solution for 2x^2+2x+4=4x+4 equation: 


Simplifying
2x2 + 2x + 4 = 4x + 4

Reorder the terms:
4 + 2x + 2x2 = 4x + 4

Reorder the terms:
4 + 2x + 2x2 = 4 + 4x

Add '-4' to each side of the equation.
4 + 2x + -4 + 2x2 = 4 + -4 + 4x

Reorder the terms:
4 + -4 + 2x + 2x2 = 4 + -4 + 4x

Combine like terms: 4 + -4 = 0
0 + 2x + 2x2 = 4 + -4 + 4x
2x + 2x2 = 4 + -4 + 4x

Combine like terms: 4 + -4 = 0
2x + 2x2 = 0 + 4x
2x + 2x2 = 4x

Solving
2x + 2x2 = 4x

Solving for variable 'x'.

Reorder the terms:
2x + -4x + 2x2 = 4x + -4x

Combine like terms: 2x + -4x = -2x
-2x + 2x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-2x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-1 + x) = 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)' equal to zero and attempt to solve:

Simplifying
-1 + x = 0

Solving
-1 + x = 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 + x = 0 + 1

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

Combine like terms: 0 + 1 = 1
x = 1

Simplifying
x = 1
Solution
x = {0, 1}

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