(6+2x)(4+2x)=120

Simple and best practice solution for (6+2x)(4+2x)=120 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 (6+2x)(4+2x)=120 equation: 


Simplifying
(6 + 2x)(4 + 2x) = 120

Multiply (6 + 2x) * (4 + 2x)
(6(4 + 2x) + 2x * (4 + 2x)) = 120
((4 * 6 + 2x * 6) + 2x * (4 + 2x)) = 120
((24 + 12x) + 2x * (4 + 2x)) = 120
(24 + 12x + (4 * 2x + 2x * 2x)) = 120
(24 + 12x + (8x + 4x2)) = 120

Combine like terms: 12x + 8x = 20x
(24 + 20x + 4x2) = 120

Solving
24 + 20x + 4x2 = 120

Solving for variable 'x'.

Reorder the terms:
24 + -120 + 20x + 4x2 = 120 + -120

Combine like terms: 24 + -120 = -96
-96 + 20x + 4x2 = 120 + -120

Combine like terms: 120 + -120 = 0
-96 + 20x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-24 + 5x + x2) = 0

Factor a trinomial.
4((-8 + -1x)(3 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

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

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-8, 3}

See similar equations:

| 7*3/7 | | 5x-1=3x-1 | | 3x+6-2x+2=8 | | 86.010*LOG(20)-70.041*LOG(72)+36.76= | | 101-4=10x+17 | | -5x-1.4=-2.3 | | 22-4k=-3k | | 3/4*3/5 | | 7x^7(8ln(4x))=0 | | 101-4x=10x-17 | | 2k-(10+k)=8 | | 4+2*(x-1)=6 | | 12u-88=4u | | 3x-8x=-(5x+2) | | (4/7w)+(6/w)=1 | | x(x-9)(x-5)=0 | | y=4x+(-8) | | 5-2*(y+3)=8 | | 3x+4x=6(x-9) | | 5m=-3m | | -5x-1.4= | | 5x-(-x)= | | x-186/14 | | -1+4*(2z-1)=3 | | 7x^2+18x-4=0 | | 5x^3+19x^2=4x | | 3(x+6)-2(x+1)=8 | | x/3-(5)=1 | | 92-5=9x+22 | | -k/5=0 | | x^3+y^2=4.05 | | 9x-6+17+7x+4=180 |

Equations solver categories