(3x+1)(2x+1)=22

Simple and best practice solution for (3x+1)(2x+1)=22 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+1)(2x+1)=22 equation:


Simplifying
(3x + 1)(2x + 1) = 22

Reorder the terms:
(1 + 3x)(2x + 1) = 22

Reorder the terms:
(1 + 3x)(1 + 2x) = 22

Multiply (1 + 3x) * (1 + 2x)
(1(1 + 2x) + 3x * (1 + 2x)) = 22
((1 * 1 + 2x * 1) + 3x * (1 + 2x)) = 22
((1 + 2x) + 3x * (1 + 2x)) = 22
(1 + 2x + (1 * 3x + 2x * 3x)) = 22
(1 + 2x + (3x + 6x2)) = 22

Combine like terms: 2x + 3x = 5x
(1 + 5x + 6x2) = 22

Solving
1 + 5x + 6x2 = 22

Solving for variable 'x'.

Reorder the terms:
1 + -22 + 5x + 6x2 = 22 + -22

Combine like terms: 1 + -22 = -21
-21 + 5x + 6x2 = 22 + -22

Combine like terms: 22 + -22 = 0
-21 + 5x + 6x2 = 0

Factor a trinomial.
(-7 + -3x)(3 + -2x) = 0

Subproblem 1

Set the factor '(-7 + -3x)' equal to zero and attempt to solve: Simplifying -7 + -3x = 0 Solving -7 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -3x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 0 + 7 -3x = 0 + 7 Combine like terms: 0 + 7 = 7 -3x = 7 Divide each side by '-3'. x = -2.333333333 Simplifying x = -2.333333333

Subproblem 2

Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5

Solution

x = {-2.333333333, 1.5}

See similar equations:

| 24+3x=-21 | | x+(x+2)+(x+4)+(x+6)=54*4 | | -6k-28=-5(-4+5k)+7k | | w^2-11w+30= | | 6x+10=6.666(30)+10x+1 | | r^2+8r+7= | | 4a+2a+4a^2-5= | | 7-4x=5x-6 | | 10r^3+38r^2-8r= | | .33(x-2)-1=.25(x-3) | | .5(x^2-8x+16)=8 | | 16y-10=10y+14 | | 9x^2+12x+4-49=0 | | 12x-3=10x+15 | | -2.9-(-4.5)= | | -3-18= | | 2(x^2+4x+4)=72 | | y=3x^2-8x+8 | | 6+6i=0 | | 21x+3= | | 21(x+1)-14(x-1)=12x | | 2v-21=-(v-3) | | y^2-29=0 | | .67x^2-4=12 | | -4(x^2-8)=84 | | 4y^2+6y-90=0 | | 4.1q-2.7-5.9q=-0.8q-2.7 | | -3p+8=5-(5p+2) | | -6x+2(x+1)=-2(2+3) | | 11p+2p^2=-15 | | 11p+2p=-15 | | 81+(6*7)x=45 |

Equations solver categories