0=12x^2-31x+20

Simple and best practice solution for 0=12x^2-31x+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=12x^2-31x+20 equation: 


Simplifying
0 = 12x2 + -31x + 20

Reorder the terms:
0 = 20 + -31x + 12x2

Solving
0 = 20 + -31x + 12x2

Solving for variable 'x'.

Combine like terms: 0 + -20 = -20
-20 + 31x + -12x2 = 20 + -31x + 12x2 + -20 + 31x + -12x2

Reorder the terms:
-20 + 31x + -12x2 = 20 + -20 + -31x + 31x + 12x2 + -12x2

Combine like terms: 20 + -20 = 0
-20 + 31x + -12x2 = 0 + -31x + 31x + 12x2 + -12x2
-20 + 31x + -12x2 = -31x + 31x + 12x2 + -12x2

Combine like terms: -31x + 31x = 0
-20 + 31x + -12x2 = 0 + 12x2 + -12x2
-20 + 31x + -12x2 = 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
-20 + 31x + -12x2 = 0

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


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 '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 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 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25
Solution
x = {1.333333333, 1.25}

See similar equations:

| 0.7(x+300)=0.76x-258 | | 8x+14=3x+54 | | Y=12x^2-31x+20 | | 3X+(X-16)= | | 4(1-5x)=2(1-10x) | | 3t^2=-22t-35 | | 5x-123x-4= | | 11/8x9/13 | | (4)/(2x)=(7)/(3) | | -1.1=18.1+u/6 | | x-2/5-2=x-7/6 | | 6(x/3)-18 | | s=4m+4v | | -15=-6+3v | | 11x/24-12=x/6+23 | | 15/12x6/5 | | -6-2(x-6)=36 | | 4-(-7-2k)=2(k+3) | | 4/2x=7/3 | | (4m-2)*(4m-3)= | | 2-3y-4y=30 | | x-8.9=-3.9 | | -m=120 | | 83f-51=-21 | | -2/3x+2=-2/5x-1/3 | | 16+8/12 | | 10(2+4x)=7-3 | | n+(-24)=0 | | -39/10=-n+14/5n | | 2x+5=12x-5 | | 0.01(x+5)-0.05=0.01 | | 16=-10+13x |

Equations solver categories