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

Simple and best practice solution for (x-4)(3x+8)=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 (x-4)(3x+8)=0 equation: 


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

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

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

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

Combine like terms: -12x + 8x = -4x
(-32 + -4x + 3x2) = 0

Solving
-32 + -4x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -3x)(4 + -1x) = 0


Subproblem 1
Set the factor '(-8 + -3x)' equal to zero and attempt to solve:

Simplifying
-8 + -3x = 0

Solving
-8 + -3x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -3x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -3x = 0 + 8
-3x = 0 + 8

Combine like terms: 0 + 8 = 8
-3x = 8

Divide each side by '-3'.
x = -2.666666667

Simplifying
x = -2.666666667

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-2.666666667, 4}

See similar equations:

| 8n-8=32 | | 3x+12-5x=19-15x+13x-7 | | 8x+15=19whatisx | | x^2+12y+36=10 | | 0-7x=7 | | 4x^4-25x^2+36=0 | | 15n^2-27n-6= | | x(x-8)=33 | | 7w=49 | | n^2-4n=11 | | 12x-2=4x-20-2 | | 2x^2+4x=1 | | x^2+6p+9=4 | | 75-(3x+13)=3(x+9)+x | | 3x^4-4x^2+11=0 | | 5x-2+78=14x+13 | | 2x+19=21 | | 187=19+(13-x) | | a+5=23 | | 14x+13+78+5x-2=90 | | 8(2x-8)=2(8x+2) | | 9x^2-25x=0 | | 14x+13+78+5x-2=180 | | 4x^4-9=0 | | b+ax=12 | | 7a^2+53a+28= | | 12x+1=4x-20-2 | | 14x+13+78=5x-2 | | 2+3x=14+7x | | 2c-6=76 | | x+3x+3x+2=37 | | x+8+70+4x+2=180 |

Equations solver categories