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

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


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

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

Multiply (-4 + 3x) * (4 + -2x)
(-4(4 + -2x) + 3x * (4 + -2x)) = 0
((4 * -4 + -2x * -4) + 3x * (4 + -2x)) = 0
((-16 + 8x) + 3x * (4 + -2x)) = 0
(-16 + 8x + (4 * 3x + -2x * 3x)) = 0
(-16 + 8x + (12x + -6x2)) = 0

Combine like terms: 8x + 12x = 20x
(-16 + 20x + -6x2) = 0

Solving
-16 + 20x + -6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-8 + 10x + -3x2) = 0

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

Ignore the factor 2.

Subproblem 1
Set the factor '(-2 + x)' equal to zero and attempt to solve:

Simplifying
-2 + x = 0

Solving
-2 + x = 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 + x = 0 + 2

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

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

Simplifying
x = 2

Subproblem 2
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
Solution
x = {2, 1.333333333}

See similar equations:

| .7(7x+3)=1.8-(x+9) | | -x+6=-2x-12 | | -(3/x)=9 | | 4(b-2.1)=b+0.6 | | 3(3n-y)+1=31 | | (3r+8)(3r-8)= | | 2x^2-7=59 | | 7y=-4x | | 2(x+4)+2=8x+2(x+2) | | (7x+84)=112 | | 3x+2x-2=4x+x+2 | | -0.2-q=9q | | X*.05833333333=(X-113) | | N^7/10 | | 2g+3G=10 | | 4(-y+2)=-1 | | X/3=70 | | N^10/7 | | 2m+-3m-8=26 | | Px+Q=X+1 | | 2x+4(2x+8)=10x+32 | | 1+8x^2+x^4= | | 90=(4x+12)+(6x+8) | | 4In(2x+3)=11 | | .15x+x=97.75 | | 4m+m=-90 | | (x+12)(x-7)=0 | | [8x]=28 | | .25(x+4)=41 | | 7/6=x/5 | | (7/28)=(3/x) | | 3x+24=4-10 |

Equations solver categories