3x^2=-6x-40

Simple and best practice solution for 3x^2=-6x-40 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=-6x-40 equation:


Simplifying
3x2 = -6x + -40

Reorder the terms:
3x2 = -40 + -6x

Solving
3x2 = -40 + -6x

Solving for variable 'x'.

Reorder the terms:
40 + 6x + 3x2 = -40 + -6x + 40 + 6x

Reorder the terms:
40 + 6x + 3x2 = -40 + 40 + -6x + 6x

Combine like terms: -40 + 40 = 0
40 + 6x + 3x2 = 0 + -6x + 6x
40 + 6x + 3x2 = -6x + 6x

Combine like terms: -6x + 6x = 0
40 + 6x + 3x2 = 0

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

Divide each side by '3'.
13.33333333 + 2x + x2 = 0

Move the constant term to the right:

Add '-13.33333333' to each side of the equation.
13.33333333 + 2x + -13.33333333 + x2 = 0 + -13.33333333

Reorder the terms:
13.33333333 + -13.33333333 + 2x + x2 = 0 + -13.33333333

Combine like terms: 13.33333333 + -13.33333333 = 0.00000000
0.00000000 + 2x + x2 = 0 + -13.33333333
2x + x2 = 0 + -13.33333333

Combine like terms: 0 + -13.33333333 = -13.33333333
2x + x2 = -13.33333333

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = -13.33333333 + 1

Reorder the terms:
1 + 2x + x2 = -13.33333333 + 1

Combine like terms: -13.33333333 + 1 = -12.33333333
1 + 2x + x2 = -12.33333333

Factor a perfect square on the left side:
(x + 1)(x + 1) = -12.33333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 4x-2=20x+2 | | 4x+20=24x+4 | | 14y+4=12y-20 | | 3x^2-3x=-1.5 | | 3v+58=34 | | 6[6-(-8x-2)]=144x+72 | | 1x^2=x+4 | | 9x^2-42xy+13y^2=0 | | 3x^2-3y=-1.5 | | .04y+.1(500-.1)=.19y | | 4y+3(y-2)=7y-2(y-10) | | x^6-3x^5+x-3= | | 8(V+2)-2V=2(3V+2)-6 | | 13/5y=8 | | 9+3s-6=8s+5-3s | | 9y=10y-4 | | 1x(5x+2)=3 | | 2n/5-2/7=18/35 | | x^2=2x-24 | | 5a-12a=7-2a | | 5(2x+9)=-37+22 | | 4x+5+10x-25=90 | | -0.2x=1 | | 800-45x+.10x^2=0 | | 7x+14+x=180 | | 2(x-7)+2x=4(x+8)-46 | | 2X^2-10X-90=0 | | Ln(3x*2x)=3 | | 3x+8-5(x+1)=7x+5 | | 33a+12=7900 | | y=3/4(4)-6 | | y-16+10x-25=180 |

Equations solver categories