(3x+4)(4x-8)=

Simple and best practice solution for (3x+4)(4x-8)= 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)(4x-8)= equation: 


Simplifying
(3x + 4)(4x + -8) = 0

Reorder the terms:
(4 + 3x)(4x + -8) = 0

Reorder the terms:
(4 + 3x)(-8 + 4x) = 0

Multiply (4 + 3x) * (-8 + 4x)
(4(-8 + 4x) + 3x * (-8 + 4x)) = 0
((-8 * 4 + 4x * 4) + 3x * (-8 + 4x)) = 0
((-32 + 16x) + 3x * (-8 + 4x)) = 0
(-32 + 16x + (-8 * 3x + 4x * 3x)) = 0
(-32 + 16x + (-24x + 12x2)) = 0

Combine like terms: 16x + -24x = -8x
(-32 + -8x + 12x2) = 0

Solving
-32 + -8x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-8 + -2x + 3x2) = 0

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

Ignore the factor 4.

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:

| 0.06x+0.04(10000-x)=520 | | 6x=.5(2x+5) | | (3x-3)=x+19 | | 50x=50y | | 20p=100 | | 100x=0y | | 7-5x=-68 | | 6(-4X+2)=3(2X-5) | | 3(23-2x)+2y=48-x | | -(x*x)+x+52=10 | | (7p^5q)(-6p^4q^3)= | | 3x-3=x+19 | | 52=-8-10x | | 9n-4=14 | | 12r-18=13r | | 3(x-3)-1=-22 | | 3y/8-y/2=2 | | h=-16t^2+64t+336 | | 4r+5s=42 | | 3(1-1/5t)=0 | | 5r-4s=-9 | | a(x)=x^2+6x+15 | | y/3-5/6=1/6 | | 7m-6+2m=8+7m | | -1-5n=34 | | 3(2X-7)+4=6(X-3) | | 2-3(x+9)=4 | | (-3x^2/7)(-4x^1/14) | | -4=4b | | (X^3)-4x^2-19x-28=0 | | -11=-20+m | | 3(1-4x)-(2x-1)^/2=7 |

Equations solver categories