(2x+1)(3x+2)=12

Simple and best practice solution for (2x+1)(3x+2)=12 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 (2x+1)(3x+2)=12 equation: 


Simplifying
(2x + 1)(3x + 2) = 12

Reorder the terms:
(1 + 2x)(3x + 2) = 12

Reorder the terms:
(1 + 2x)(2 + 3x) = 12

Multiply (1 + 2x) * (2 + 3x)
(1(2 + 3x) + 2x * (2 + 3x)) = 12
((2 * 1 + 3x * 1) + 2x * (2 + 3x)) = 12
((2 + 3x) + 2x * (2 + 3x)) = 12
(2 + 3x + (2 * 2x + 3x * 2x)) = 12
(2 + 3x + (4x + 6x2)) = 12

Combine like terms: 3x + 4x = 7x
(2 + 7x + 6x2) = 12

Solving
2 + 7x + 6x2 = 12

Solving for variable 'x'.

Reorder the terms:
2 + -12 + 7x + 6x2 = 12 + -12

Combine like terms: 2 + -12 = -10
-10 + 7x + 6x2 = 12 + -12

Combine like terms: 12 + -12 = 0
-10 + 7x + 6x2 = 0

Factor a trinomial.
(-2 + -1x)(5 + -6x) = 0


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 '(5 + -6x)' equal to zero and attempt to solve:

Simplifying
5 + -6x = 0

Solving
5 + -6x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -6x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6x = 0 + -5
-6x = 0 + -5

Combine like terms: 0 + -5 = -5
-6x = -5

Divide each side by '-6'.
x = 0.8333333333

Simplifying
x = 0.8333333333
Solution
x = {-2, 0.8333333333}

See similar equations:

| 8x-19=37 | | 10-2x=70 | | 8x^7-8x^6-16x^5=0 | | 4/5k | | 2-2n=11 | | (25x+3)+(15x-1)= | | 0.3+0.04t=0.55 | | 5(3a-22)=35 | | 2a+10-a+4=3(a+3)+1 | | f(x)=x^3+3x^2-8x-18 | | 3x-20=6x-32 | | 6x^2+24xy=0 | | 10-4x=-8x-14 | | 3cab+b=5 | | 10xw=90 | | 5p-14=-14 | | p+22=27 | | 25x^2y^2-40xy+16=0 | | 2x+97+x=180 | | 0.9x+6.2= | | 8y=-5x+100 | | 69=5x+4 | | 1/3*pi*12square2*14= | | a*a+5=86 | | 7(6n+2)=-238 | | 5x-5+2x+97=180 | | (4+3i)(-2+5i)= | | p(14)=1+3(x+2)*(x+2) | | 8+18n+7n^2=0 | | 18-7n=4 | | 58=6x+4 | | 8+18n+7nsquared=0 |

Equations solver categories