(3x+2)(2x+9)=

Simple and best practice solution for (3x+2)(2x+9)= 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 (3x+2)(2x+9)= equation: 


Simplifying
(3x + 2)(2x + 9) = 0

Reorder the terms:
(2 + 3x)(2x + 9) = 0

Reorder the terms:
(2 + 3x)(9 + 2x) = 0

Multiply (2 + 3x) * (9 + 2x)
(2(9 + 2x) + 3x * (9 + 2x)) = 0
((9 * 2 + 2x * 2) + 3x * (9 + 2x)) = 0
((18 + 4x) + 3x * (9 + 2x)) = 0
(18 + 4x + (9 * 3x + 2x * 3x)) = 0
(18 + 4x + (27x + 6x2)) = 0

Combine like terms: 4x + 27x = 31x
(18 + 31x + 6x2) = 0

Solving
18 + 31x + 6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(9 + 2x)(2 + 3x) = 0


Subproblem 1
Set the factor '(9 + 2x)' equal to zero and attempt to solve:

Simplifying
9 + 2x = 0

Solving
9 + 2x = 0

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

Add '-9' to each side of the equation.
9 + -9 + 2x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2x = 0 + -9
2x = 0 + -9

Combine like terms: 0 + -9 = -9
2x = -9

Divide each side by '2'.
x = -4.5

Simplifying
x = -4.5

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

Simplifying
2 + 3x = 0

Solving
2 + 3x = 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 + 3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = 0 + -2
3x = 0 + -2

Combine like terms: 0 + -2 = -2
3x = -2

Divide each side by '3'.
x = -0.6666666667

Simplifying
x = -0.6666666667
Solution
x = {-4.5, -0.6666666667}

See similar equations:

| -2=8x+6(x-2) | | -8(6-5x)-7(-8+5x)=8 | | 4t^2+120t+900=0 | | 5x+16-3x=9+4x-7 | | -11+5a=30a+24 | | 16k+3K=12 | | -2(8x+3)=x(x+5) | | 2/7-2/3u=-1/2 | | 105+9.50p=14.75p | | tan^4(9x)=9 | | 61=4u+9 | | 0.20y-1.4=0.10y+1-0.7y | | 7(w-2)=-7w-28 | | (a+7)(a-4)= | | 8p^2=-112p-392 | | 2x+2/1/2=5 | | (a+70)(a-4)= | | T-7.4=-1.0 | | 180(n-2)=1620 | | 48=8/3v | | 3n-18=6 | | .75p+24=1.19p | | x+41=-x-1 | | 8x-(2x+5)=31 | | -8v+3(v-3)=-24 | | (4x^2+5x)(15x^2-1x-2)=0 | | 6/4x=3/4 | | 8-6x=68 | | 15-3(x-1)=-12 | | w-5=[8-13] | | 4(2x-1)-5=3x-2 | | 4x^(2/3)-5=11 |

Equations solver categories