3x(x-2)-2(x-3)=2

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


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

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

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

Reorder the terms:
6 + -6x + -2x + 3x2 = 2

Combine like terms: -6x + -2x = -8x
6 + -8x + 3x2 = 2

Solving
6 + -8x + 3x2 = 2

Solving for variable 'x'.

Reorder the terms:
6 + -2 + -8x + 3x2 = 2 + -2

Combine like terms: 6 + -2 = 4
4 + -8x + 3x2 = 2 + -2

Combine like terms: 2 + -2 = 0
4 + -8x + 3x2 = 0

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:

| S=4(3a+b) | | .03p+0.05(1700-p)=65 | | 5(x-4)+2(3+x)=9x-4 | | (2x-2)(x+2)=3 | | kx^2-kx-2whenx=3 | | (8*X-10)*5-18=12 | | 3x^3+9x+2=0 | | 2x-9=4x-25 | | 5h+6j-2h+h= | | 3k=3k+8 | | -144x^2+2x=0 | | 3(4x+6)=30 | | -0.36x+12.6= | | 2y+3x=175 | | 7.7x-2.6= | | (3b+3)(8b+4)= | | 8/96x100 | | t^2+15t-4=0 | | 3x(4x+6)=30 | | 24x+(350*3)=(x+350)5 | | 24x+60=(x+20)6 | | 19=2y+11 | | (3x+19)=(4x-2) | | 90-(4x+8)=4(x+7)+x | | 3(m-3)-4(m+3)=10 | | 332/4=t | | Y-8=4y+4 | | 3y-1+y+51=7y+50-5y | | 3m/1➕1/2 | | 8x^5+27x^2-72x^3-243=0 | | 12b+b=13b | | (3x+4y)(8x+2y)= |

Equations solver categories