(2+2x)(1+2x)-2=4

Simple and best practice solution for (2+2x)(1+2x)-2=4 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (2+2x)(1+2x)-2=4 equation: 


Simplifying
(2 + 2x)(1 + 2x) + -2 = 4

Multiply (2 + 2x) * (1 + 2x)
(2(1 + 2x) + 2x * (1 + 2x)) + -2 = 4
((1 * 2 + 2x * 2) + 2x * (1 + 2x)) + -2 = 4
((2 + 4x) + 2x * (1 + 2x)) + -2 = 4
(2 + 4x + (1 * 2x + 2x * 2x)) + -2 = 4
(2 + 4x + (2x + 4x2)) + -2 = 4

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

Reorder the terms:
2 + -2 + 6x + 4x2 = 4

Combine like terms: 2 + -2 = 0
0 + 6x + 4x2 = 4
6x + 4x2 = 4

Solving
6x + 4x2 = 4

Solving for variable 'x'.

Reorder the terms:
-4 + 6x + 4x2 = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + 6x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + 3x + 2x2) = 0

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

Ignore the factor 2.

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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Solution
x = {-2, 0.5}

See similar equations:

| 10x*.50x= | | 9(-5x-5)= | | 4(x+9)+9=8x-4(x-3) | | (7+2)3-5= | | -56=y-8 | | 3p-4=-5p+60 | | 4(w+3)=4w+12 | | -32=x-85 | | log(x-7)+log(x-4)=1 | | 7(4w+10)=4 | | f(x)=x^2+5x-6 | | h=112t+16t^2 | | x^2+19x-72=0 | | 5j+4=2j+13 | | 8+2(3x-5)=5-5(2x+1) | | 10(x-1)-4x=2x-1+4(x+1) | | y-6=6(x-2) | | 15y+2=57 | | 8x-5=8(x+1) | | 12x-40=4x | | (2y)-(3x)=10 | | 90-a+180-a=160 | | (5p^2-3)+(2p^2-3p^4)= | | -4x+3m=4 | | 2(x-2)=-1(1-4x) | | 10(k+6)=160 | | p-(-p)-5(p-3)-(2p-5)=3(p+2p) | | 5(b+1)=30 | | 0.3x-3=0.1(x+30) | | 8m+18=9m+11 | | 2ab+2b= | | 3.9x=2.8x+6.6 |

Equations solver categories