(3x-4)(x-2)=0

Simple and best practice solution for (3x-4)(x-2)=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-4)(x-2)=0 equation: 


Simplifying
(3x + -4)(x + -2) = 0

Reorder the terms:
(-4 + 3x)(x + -2) = 0

Reorder the terms:
(-4 + 3x)(-2 + x) = 0

Multiply (-4 + 3x) * (-2 + x)
(-4(-2 + x) + 3x * (-2 + x)) = 0
((-2 * -4 + x * -4) + 3x * (-2 + x)) = 0
((8 + -4x) + 3x * (-2 + x)) = 0
(8 + -4x + (-2 * 3x + x * 3x)) = 0
(8 + -4x + (-6x + 3x2)) = 0

Combine like terms: -4x + -6x = -10x
(8 + -10x + 3x2) = 0

Solving
8 + -10x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + -3x)(2 + -1x) = 0


Subproblem 1
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

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 = {1.333333333, 2}

See similar equations:

| -22=p+9 | | -5x-10=-35 | | 5(4+16x)=180 | | 2x-6(4x+9)=-21x+3(6-x)+2x-72 | | s-18=-20 | | (y^4)z-8yz=0 | | x+91=22 | | 5x-2=x+24 | | 1/3--1/3= | | x+63=46 | | 8[2-(3+2x)]-2x=-10+2(1-9x) | | 2(1+7)=4(9*1+3)/3 | | x-41=112 | | 5u-3u=14 | | 20m=n | | x-55=104 | | 16+5=2(20-5) | | x+13=97 | | 16x-men=5+12x | | 16+x=2(20-x) | | -1/6-1/3= | | -8m+65-6(m-2)=5m-(6m-7)-2m+4 | | 1/6-1/3= | | -8y^2+8y-60=0 | | x-21=-22 | | 6(5-8v)+12=-19 | | 9x-7(x-6)=2 | | x-17=-37 | | x+8=-52 | | 3(2x-6)+1= | | 292t+800=-832 | | 3(2x-6)+3= |

Equations solver categories