(3x+2)*(x-2)=

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


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

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

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

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

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

Solving
-4 + -4x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -3x)(2 + -1x) = 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 '(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
Solution
x = {-0.6666666667, 2}

See similar equations:

| 18=4a+10 | | -1/12+1/3= | | x(0.40)=80 | | 2x-7=3x-6 | | 4x^3=28 | | x^2=0.22222 | | 4(2+3x)=4+2(2x) | | -21x=28x+63 | | -3x+6=15 | | (12x+4)=(13x-5) | | X^2+9x-25=-3 | | 2=a+4 | | 8(3a+5)+a=-65 | | -5(n-2)=3-4n | | x+x+5000+x*3=20000 | | 4x-81=225 | | 5n-(5+4n)=(3+n)-8 | | -8=3x+1 | | -33x=44x+99 | | 7+4m=6.75 | | 11x=10x-23 | | 6.75b-7=4b | | -14x=21x+56 | | -3/10+1/5= | | 2.5b-5=0.5b+1 | | -6x-8=-3x-1 | | 3x=-108 | | 2z+1-3=z-2 | | 10+2m=83m | | 10+2m=8-3m | | 10+2m=8+3m | | 2(2-3n)=-(5n-(4-n)) |

Equations solver categories