3x^2-x+60=0

Simple and best practice solution for 3x^2-x+60=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 3x^2-x+60=0 equation:


Simplifying
3x2 + -1x + 60 = 0

Reorder the terms:
60 + -1x + 3x2 = 0

Solving
60 + -1x + 3x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
20 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-20' to each side of the equation.
20 + -0.3333333333x + -20 + x2 = 0 + -20

Reorder the terms:
20 + -20 + -0.3333333333x + x2 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -0.3333333333x + x2 = 0 + -20
-0.3333333333x + x2 = 0 + -20

Combine like terms: 0 + -20 = -20
-0.3333333333x + x2 = -20

The x term is -0.3333333333x.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333x + 0.02777777779 + x2 = -20 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333x + x2 = -20 + 0.02777777779

Combine like terms: -20 + 0.02777777779 = -19.97222222221
0.02777777779 + -0.3333333333x + x2 = -19.97222222221

Factor a perfect square on the left side:
(x + -0.1666666667)(x + -0.1666666667) = -19.97222222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 3n-7=9(5+n) | | 5y+1.8(1-w)=-38 | | 3x-5=22-6x | | 6(1+6g)= | | 3(4x+3)+4(6x-1)=43 | | 3x+18=3x+18 | | 7z=8 | | 5w+5w=10 | | 22=22+n | | 6(1+3d)= | | 3n-7=9*5n | | -4(2t-4)+3t=6t-3 | | -4.9x^2+19.6X+58.8=0 | | 10(c+5)-10=40 | | (3s+2)(2)= | | 0.06(y-6)+0.16y=0.18y-0.4 | | 6+8x=4(2x+4) | | 8+2x=3x | | 3x+10x-2=78 | | =4x^2-14x-60 | | 9(2h-6)=2(-5-2h) | | 1-s+s= | | 4h-h-2h=18 | | 2X+11x=8x+15 | | 10x=6x+60 | | 2m-nc=x+4 | | 2n-n+2=19 | | 2-8x+1=8-10x | | 3h-6=3h | | 7x+7-2x=4x+13 | | 8r+8=29r+11 | | -8y+-4+-7+-4y= |

Equations solver categories