3x^2=-8x-16

Simple and best practice solution for 3x^2=-8x-16 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=-8x-16 equation: 


Simplifying
3x2 = -8x + -16

Reorder the terms:
3x2 = -16 + -8x

Solving
3x2 = -16 + -8x

Solving for variable 'x'.

Reorder the terms:
16 + 8x + 3x2 = -16 + -8x + 16 + 8x

Reorder the terms:
16 + 8x + 3x2 = -16 + 16 + -8x + 8x

Combine like terms: -16 + 16 = 0
16 + 8x + 3x2 = 0 + -8x + 8x
16 + 8x + 3x2 = -8x + 8x

Combine like terms: -8x + 8x = 0
16 + 8x + 3x2 = 0

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

Divide each side by '3'.
5.333333333 + 2.666666667x + x2 = 0

Move the constant term to the right:

Add '-5.333333333' to each side of the equation.
5.333333333 + 2.666666667x + -5.333333333 + x2 = 0 + -5.333333333

Reorder the terms:
5.333333333 + -5.333333333 + 2.666666667x + x2 = 0 + -5.333333333

Combine like terms: 5.333333333 + -5.333333333 = 0.000000000
0.000000000 + 2.666666667x + x2 = 0 + -5.333333333
2.666666667x + x2 = 0 + -5.333333333

Combine like terms: 0 + -5.333333333 = -5.333333333
2.666666667x + x2 = -5.333333333

The x term is 2.666666667x.  Take half its coefficient (1.333333334).
Square it (1.777777780) and add it to both sides.

Add '1.777777780' to each side of the equation.
2.666666667x + 1.777777780 + x2 = -5.333333333 + 1.777777780

Reorder the terms:
1.777777780 + 2.666666667x + x2 = -5.333333333 + 1.777777780

Combine like terms: -5.333333333 + 1.777777780 = -3.555555553
1.777777780 + 2.666666667x + x2 = -3.555555553

Factor a perfect square on the left side:
(x + 1.333333334)(x + 1.333333334) = -3.555555553

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 11x-2=3x+9 | | y=-2(x-75)+325 | | y=-2(x-60)+220 | | -4z+5=15z+15 | | -4+2x=-12+24x | | (7-8i)(3+4i)= | | -12x+12=7+6x | | 49-2x=13-8x | | -12+12=7+6x | | (6-i)+(-4+4i)= | | 0.5x-(18+x)=3(x+1) | | 1.5x+(3x-1.25)=1 | | y=(x-2)+7 | | 7x-(3x-11)=55 | | 0.35-0.5x=2.65 | | 13-13y=8y-6 | | y=(x-2)+12 | | -4cos(4x)=0 | | 17-5n=11+3n | | 8k+ar=r-2y | | 11-11y=3y-6 | | 3x+x=19+5 | | 19n^2-43n+45=0 | | 2x^2+10x-21=0 | | 9X-17=4X+13 | | 2x^2+10x+37=169 | | Lnx=39.5 | | 9u+2=38 | | f=14+17x-1+x(7) | | 2lnx=ln(9+4x) | | 5e^3x-1=25 | | 3v^2-243=0 |

Equations solver categories