3x(2x+3)=4(2x+3)

Simple and best practice solution for 3x(2x+3)=4(2x+3) 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(2x+3)=4(2x+3) equation: 


Simplifying
3x(2x + 3) = 4(2x + 3)

Reorder the terms:
3x(3 + 2x) = 4(2x + 3)
(3 * 3x + 2x * 3x) = 4(2x + 3)
(9x + 6x2) = 4(2x + 3)

Reorder the terms:
9x + 6x2 = 4(3 + 2x)
9x + 6x2 = (3 * 4 + 2x * 4)
9x + 6x2 = (12 + 8x)

Solving
9x + 6x2 = 12 + 8x

Solving for variable 'x'.

Reorder the terms:
-12 + 9x + -8x + 6x2 = 12 + 8x + -12 + -8x

Combine like terms: 9x + -8x = 1x
-12 + 1x + 6x2 = 12 + 8x + -12 + -8x

Reorder the terms:
-12 + 1x + 6x2 = 12 + -12 + 8x + -8x

Combine like terms: 12 + -12 = 0
-12 + 1x + 6x2 = 0 + 8x + -8x
-12 + 1x + 6x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
-12 + 1x + 6x2 = 0

Factor a trinomial.
(-3 + -2x)(4 + -3x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {-1.5, 1.333333333}

See similar equations:

| (9x+7)(x^2+4x+3)= | | 8c+4=4(c-3) | | -2-2(4b-2)=2(1-b) | | 5x+14=2x+9-(4x+2) | | 2/5(x+1)=3 | | 2(d-1)=2d+8d | | -11x+8+9x+3=4 | | .25(5p)-2=4 | | .12(y-6)+.06y=.08y-.7 | | 2+2m-3m= | | 0.4x-6(3x-2)=48.8 | | 4x+y=78 | | 15=n+18 | | 3-5s+6s=-11 | | 18x+6y+3=30x-18y-5 | | 0.4-6(3x-2)=48.8 | | v^2-v-72=0 | | 2.5X=Volume | | -4x-4=24 | | -(x-1)=-2(5-x) | | 2(-2n-4)=-3(1+3n) | | 5(x-1)=3x-10-8x | | -6=a+(-7) | | 2(x+4)-20=-3(x-6) | | 52+h=0.3 | | .75x+2=-1 | | 5(t+3)+9=-6 | | 3x-7+2x= | | 0.8=5a | | 7x-2y+6=0 | | 3(r-6)=-21 | | 3x+4t+45x= |

Equations solver categories