6-4(x+2)=2x^2

Solution for 6-4(x+2)=2x^2 equation:

Simplifying
6 + -4(x + 2) = 2x2

Reorder the terms:
6 + -4(2 + x) = 2x2
6 + (2 * -4 + x * -4) = 2x2
6 + (-8 + -4x) = 2x2

Combine like terms: 6 + -8 = -2
-2 + -4x = 2x2

Solving
-2 + -4x = 2x2

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), '-2'.
-2(1 + 2x + x2) = 0

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

Ignore the factor -2.
Subproblem 1
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
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 = {-1, -1}