6(10-x)(3x+4)=0

Simple and best practice solution for 6(10-x)(3x+4)=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 6(10-x)(3x+4)=0 equation: 


Simplifying
6(10 + -1x)(3x + 4) = 0

Reorder the terms:
6(10 + -1x)(4 + 3x) = 0

Multiply (10 + -1x) * (4 + 3x)
6(10(4 + 3x) + -1x * (4 + 3x)) = 0
6((4 * 10 + 3x * 10) + -1x * (4 + 3x)) = 0
6((40 + 30x) + -1x * (4 + 3x)) = 0
6(40 + 30x + (4 * -1x + 3x * -1x)) = 0
6(40 + 30x + (-4x + -3x2)) = 0

Combine like terms: 30x + -4x = 26x
6(40 + 26x + -3x2) = 0
(40 * 6 + 26x * 6 + -3x2 * 6) = 0
(240 + 156x + -18x2) = 0

Solving
240 + 156x + -18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(40 + 26x + -3x2) = 0

Factor a trinomial.
6((10 + -1x)(4 + 3x)) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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 = {10, -1.333333333}

See similar equations:

| 3(K-8)=21 | | -3x-7=x+1 | | 18-3x=6x+90 | | 3(w+2)=2w-1 | | 3(w+2)=2-1 | | 390=90+42h+195 | | 14-m=9 | | h(t)=-16t^2+64t | | 4-x=(-6) | | 8x=4(8x+18) | | X+2Y+Z=10 | | x-1=(-9) | | x+2y+z=10 | | 12x-6y+18=0 | | 6(x-5)+17=3(2x-8)+7 | | 7x-3+x=12 | | 119m+595=17m+1411 | | 2(1-3X)=5-6X | | 5x+4(x-30)=63-(x+3) | | x^4+x^3+27X-27=0 | | f(h)=300+3.5h | | f(h)=300+3.5 | | 2(a-6)=4a-(2a+12) | | 18(x+18)=42 | | 6x+10=3+8x-5 | | 12-4x=-8x+4 | | 2x+64=7x+9 | | 28/7=n | | -y^2+3*y-8=0 | | 3x+y+5z=8 | | 3r+48=5r | | 28/4=c |

Equations solver categories