(3x+2)(2x-1)=0

Simple and best practice solution for (3x+2)(2x-1)=0 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-1)=0 equation: 


Simplifying
(3x + 2)(2x + -1) = 0

Reorder the terms:
(2 + 3x)(2x + -1) = 0

Reorder the terms:
(2 + 3x)(-1 + 2x) = 0

Multiply (2 + 3x) * (-1 + 2x)
(2(-1 + 2x) + 3x * (-1 + 2x)) = 0
((-1 * 2 + 2x * 2) + 3x * (-1 + 2x)) = 0
((-2 + 4x) + 3x * (-1 + 2x)) = 0
(-2 + 4x + (-1 * 3x + 2x * 3x)) = 0
(-2 + 4x + (-3x + 6x2)) = 0

Combine like terms: 4x + -3x = 1x
(-2 + 1x + 6x2) = 0

Solving
-2 + 1x + 6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -3x)(1 + -2x) = 0


Subproblem 1
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

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

Simplifying
1 + -2x = 0

Solving
1 + -2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Solution
x = {-0.6666666667, 0.5}

See similar equations:

| 10x-15=25-2x | | 5x+7=6+3x+1+2x | | ln(8-9x)=-1 | | ln(9x+8)=-1 | | -6q+72=q+269 | | 2(3+w)=41 | | 30x+5=125 | | 13p+3=p-597 | | x+(x+2)=108 | | 5(2x-4)=3(3x+6) | | (3(x-5a+9))= | | 5/3*2= | | x+12=4x-6 | | 20+1.25d=2.5d | | 5x-15x-7=5(4x+4) | | 8-n=1+2n-2n | | v+162=-4v-3 | | .04x+x=5200000 | | 117x^2+8xy+117y^2-484x-484y=12705 | | 6+x=26 | | b+84=-5b-6 | | -5-(15y-1)=2(7x-16)-x | | -4(-4+7x)=-152 | | 2x+2y+6=(x)(y)+3 | | (.01)(1-x)+(.063)(x)=(.02)(1) | | .04x+x=5300000 | | 58x+44=160 | | 4a=-7a+a | | .04x+x=5400000 | | 36x^2+360xy+900y^2=200 | | 12x+3(y-16x)-25=64y | | 7x+4=6x+5 |

Equations solver categories