3(x^2)-46x+120=0

Simple and best practice solution for 3(x^2)-46x+120=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 3(x^2)-46x+120=0 equation: 


Simplifying
3(x2) + -46x + 120 = 0

Reorder the terms:
120 + -46x + 3x2 = 0

Solving
120 + -46x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(10 + -3x)(12 + -1x) = 0


Subproblem 1
Set the factor '(10 + -3x)' equal to zero and attempt to solve:

Simplifying
10 + -3x = 0

Solving
10 + -3x = 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 + -3x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = 0 + -10
-3x = 0 + -10

Combine like terms: 0 + -10 = -10
-3x = -10

Divide each side by '-3'.
x = 3.333333333

Simplifying
x = 3.333333333

Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12
Solution
x = {3.333333333, 12}

See similar equations:

| 7x+14=45 | | 1/2x+10=6 | | 23-8a=-3(1-6a) | | 3=-4*0+b | | 8-3(3x-5)=2x+89 | | -19-5=y | | Ln(2x+9)=4 | | 5/7y=20 | | 6w+6y+7x+7x-13y+3w= | | 2/3u=2-4/3 | | 3(-7+2x)=51 | | 3/4p-4=11 | | P/9-1-2 | | 3=-3*3+b | | 3(z-1)=0 | | d/12/80 | | 7t=8t-36 | | 5c+3=2 | | 57-x=12 | | 2/5x-3=37 | | -15+3n=-3(5-5n) | | 18x^2-29x-14=0 | | (n+6)=4n+24 | | 75-15s=90 | | 1.08(1.26)(9-x)=10 | | 28f-14f=56 | | 0.0000036-x=x^2 | | 6-1/5 | | 5a-12=72 | | 56=A+15 | | 4(2+3p)=56 | | 7.5x-46.25=10-5x |

Equations solver categories