3x^2-x=-7

Simple and best practice solution for 3x^2-x=-7 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=-7 equation: 


Simplifying
3x2 + -1x = -7

Reorder the terms:
-1x + 3x2 = -7

Solving
-1x + 3x2 = -7

Solving for variable 'x'.

Reorder the terms:
7 + -1x + 3x2 = -7 + 7

Combine like terms: -7 + 7 = 0
7 + -1x + 3x2 = 0

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

Divide each side by '3'.
2.333333333 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-2.333333333' to each side of the equation.
2.333333333 + -0.3333333333x + -2.333333333 + x2 = 0 + -2.333333333

Reorder the terms:
2.333333333 + -2.333333333 + -0.3333333333x + x2 = 0 + -2.333333333

Combine like terms: 2.333333333 + -2.333333333 = 0.000000000
0.000000000 + -0.3333333333x + x2 = 0 + -2.333333333
-0.3333333333x + x2 = 0 + -2.333333333

Combine like terms: 0 + -2.333333333 = -2.333333333
-0.3333333333x + x2 = -2.333333333

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 = -2.333333333 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333x + x2 = -2.333333333 + 0.02777777779

Combine like terms: -2.333333333 + 0.02777777779 = -2.30555555521
0.02777777779 + -0.3333333333x + x2 = -2.30555555521

Factor a perfect square on the left side:
(x + -0.1666666667)(x + -0.1666666667) = -2.30555555521

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 2(6w)+vx=y | | 29+x-24=296 | | 2[7p-4]=22+20p | | 16+x=4x+4 | | -9-x=2x-3 | | 14n+11=9n-19 | | 0.5x+13=5.5 | | 6c+3-c=24 | | 12=.3n | | 2w-39=w | | 4m+5n+8m+9n= | | 3x+8=8+7x | | 9(i+2)=(i-2) | | 8(3-2x-3x)+8(2x+9)=24 | | 4x+10y=160 | | 2x^2+2y^2-4x-64+4=0 | | -3x-0.5+3=-4 | | 7x+4=-2x-32 | | 58+47+x= | | 4+3lnx=5 | | 39.25/3.14 | | 7n-9=-30 | | 2/3z+1/2=-31/3 | | 2.6k=m | | X=6+-0.5y | | 48=20a+4b | | 2.6k+m= | | -11/4m-1/6=21/3 | | x^2-4x+4=2x^2+4x+16 | | x(x)-14x+45=0 | | X=3x^2-5x-4 | | y-x=-10 |

Equations solver categories