0=3x^2-11x-20

Simple and best practice solution for 0=3x^2-11x-20 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 0=3x^2-11x-20 equation: 


Simplifying
0 = 3x2 + -11x + -20

Reorder the terms:
0 = -20 + -11x + 3x2

Solving
0 = -20 + -11x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + 20 = 20
20 + 11x + -3x2 = -20 + -11x + 3x2 + 20 + 11x + -3x2

Reorder the terms:
20 + 11x + -3x2 = -20 + 20 + -11x + 11x + 3x2 + -3x2

Combine like terms: -20 + 20 = 0
20 + 11x + -3x2 = 0 + -11x + 11x + 3x2 + -3x2
20 + 11x + -3x2 = -11x + 11x + 3x2 + -3x2

Combine like terms: -11x + 11x = 0
20 + 11x + -3x2 = 0 + 3x2 + -3x2
20 + 11x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
20 + 11x + -3x2 = 0

Factor a trinomial.
(5 + -1x)(4 + 3x) = 0


Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

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 = {5, -1.333333333}

See similar equations:

| 5r+6=26 | | (y+4)=1 | | 1-x=-8 | | 49=r*1.96 | | 0=5x^2+14x-3 | | 3y+21=4y+20 | | 5(3-a)=3a+a-3 | | 75+.50(m-100)=93 | | 6m+8=-4+8m | | 2m-2=-38+6m | | 5/91*13/25= | | 12=8-20y | | 0=2x^2-3x-9 | | 19X-4-13X=2(3X-3)+2 | | b-8+8b=30 | | 4x-10=18-7(x-2) | | 4x-16=22 | | 1x-1=376 | | 99-6x+4x+1= | | 7s+14=-21 | | -x+13=17 | | 4(x+12)+4x=640 | | 6x-4x-10x= | | 10X-4-13X=2(3X-3)+2 | | 225=15x | | 9x-2=-18+x | | 4000(X+465-600)=3 | | 17-9h=62 | | 0=3x^2+x-10 | | 12n^2-21=0 | | 17=8x+3-6x | | 81uv^3+3u^4=0 |

Equations solver categories