6x^2-104x+320=0

Simple and best practice solution for 6x^2-104x+320=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 6x^2-104x+320=0 equation:


Simplifying
6x2 + -104x + 320 = 0

Reorder the terms:
320 + -104x + 6x2 = 0

Solving
320 + -104x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(160 + -52x + 3x2) = 0

Factor a trinomial.
2((4 + -1x)(40 + -3x)) = 0

Ignore the factor 2.

Subproblem 1

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

Subproblem 2

Set the factor '(40 + -3x)' equal to zero and attempt to solve: Simplifying 40 + -3x = 0 Solving 40 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -3x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -3x = 0 + -40 -3x = 0 + -40 Combine like terms: 0 + -40 = -40 -3x = -40 Divide each side by '-3'. x = 13.33333333 Simplifying x = 13.33333333

Solution

x = {4, 13.33333333}

See similar equations:

| 3z/8-6=-7 | | -x+7=27x+3+4 | | 4n+90+90=360 | | 4x+13=9x+12 | | 3y-13=35 | | -7(z-8)=-6z-7 | | 1x-4=-13 | | x/24-1/4=8 | | 7x-5=-4-16 | | 5-m/9=13 | | 700-35p=450+15p | | (5y+4)(6-Y)=0 | | 3+24=3(7x-9) | | -3x(1-2x)-3(x-4)=-5-4x | | 11=-3k-22-8k | | 2.5x=1342.5x | | a=(3x^3)(2x^4) | | 10(x-2)=10x-20 | | 2(u+3)-8u=-18 | | 4x+6=5x+30-28 | | 30xy/5x | | 602-67x=53 | | x/3-×-2/9=6 | | 6y-3x=x | | 2z/9-7=10 | | (12-2x)x(10-2x)=a | | 5x^2-37x+12=0 | | x*x-20x+60=0 | | -9(x+8)=-8x-8 | | y-1=-8(x-4) | | (x^2+16)(x^2-1)=0 | | 2x+30+2x+30+4x+4x=360 |

Equations solver categories