(3x-5)(2x-4)=

Simple and best practice solution for (3x-5)(2x-4)= 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-5)(2x-4)= equation: 


Simplifying
(3x + -5)(2x + -4) = 0

Reorder the terms:
(-5 + 3x)(2x + -4) = 0

Reorder the terms:
(-5 + 3x)(-4 + 2x) = 0

Multiply (-5 + 3x) * (-4 + 2x)
(-5(-4 + 2x) + 3x * (-4 + 2x)) = 0
((-4 * -5 + 2x * -5) + 3x * (-4 + 2x)) = 0
((20 + -10x) + 3x * (-4 + 2x)) = 0
(20 + -10x + (-4 * 3x + 2x * 3x)) = 0
(20 + -10x + (-12x + 6x2)) = 0

Combine like terms: -10x + -12x = -22x
(20 + -22x + 6x2) = 0

Solving
20 + -22x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(10 + -11x + 3x2) = 0

Factor a trinomial.
2((5 + -3x)(2 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(5 + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3x = 0

Solving
5 + -3x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 0 + -5
-3x = 0 + -5

Combine like terms: 0 + -5 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667

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 = {1.666666667, 2}

See similar equations:

| 7+x=-10+9 | | 9x^2-3x+20=0 | | (-a-2b+6)7ab= | | -x/3+12=-24-32 | | 13-2x=-7x+18 | | y=4(1)+4 | | y=4(-1)+4 | | 9x(x+6y+4z)= | | 6x+2-4x+7=39 | | 9v-10+5v+8= | | 12y-8-12= | | -x-4.3=-6 | | 4n-4=7(-2n+2) | | 5x+1=3x-15 | | 9*x^2-1=0 | | 5x+1=4x-11 | | -41-(-89)= | | (1/4)*x^2-1=0 | | 16=-7x+2 | | -3.6=.8x | | 3(8a-b)-8(2b-5a)= | | -6x+15=-5x | | 1/3x=11/15x+4/5 | | 7x+9y=200 | | -1=.8x | | 3x-7(x-4)=-12 | | 2x/3-5x/12=5/4 | | 2/3x-9=-6 | | -1/8x+7=16 | | 0.6x+5.1=4.2 | | 6-x+15=-5x | | F(3)=x^2-3x-1 |

Equations solver categories