(3x-2)(4x-6)=

Simple and best practice solution for (3x-2)(4x-6)= 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)(4x-6)= equation: 


Simplifying
(3x + -2)(4x + -6) = 0

Reorder the terms:
(-2 + 3x)(4x + -6) = 0

Reorder the terms:
(-2 + 3x)(-6 + 4x) = 0

Multiply (-2 + 3x) * (-6 + 4x)
(-2(-6 + 4x) + 3x * (-6 + 4x)) = 0
((-6 * -2 + 4x * -2) + 3x * (-6 + 4x)) = 0
((12 + -8x) + 3x * (-6 + 4x)) = 0
(12 + -8x + (-6 * 3x + 4x * 3x)) = 0
(12 + -8x + (-18x + 12x2)) = 0

Combine like terms: -8x + -18x = -26x
(12 + -26x + 12x2) = 0

Solving
12 + -26x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(6 + -13x + 6x2) = 0

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

Ignore the factor 2.

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 '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {0.6666666667, 1.5}

See similar equations:

| 4x*2-5+7x-2x*2-x-3= | | 3x+2y=8.50 | | 267-5x=40x+16 | | 2/25x5/7 | | 12=-4/3y | | 2x-3=12-83 | | 15*15= | | 4(3-x)-6=6-4x | | 6x+20=14-60 | | x/2+x-1/4=x/3 | | 8x^2-54x+81=0 | | .6x+3(.2x)=.5x | | x^2=-12x+32 | | 3d+10e+10e+10E= | | 980x+1100x=6240 | | 9x^2-44x+32=0 | | -5x-2(x+2)=-81 | | 13=x-5 | | 74-22=x | | t(t^4-20t^2+64)=0 | | -54x^2-246x-120=0 | | 5=-12+r | | -8t+10=-30 | | 15m^2n-55mn=0 | | 10=3b+a/2 | | -19p=-342 | | F(x)=4x^3-12x^2-16x | | 74-22= | | 3x-75=12 | | 7n+6-5=4n+4 | | 9x^2+53x-70=0 | | 0.10x+0.25(x+3)+(0.05)4(x+3)=2.45 |

Equations solver categories