3x^2+4x+20=0

Simple and best practice solution for 3x^2+4x+20=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+4x+20=0 equation:


Simplifying
3x2 + 4x + 20 = 0

Reorder the terms:
20 + 4x + 3x2 = 0

Solving
20 + 4x + 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'.
6.666666667 + 1.333333333x + x2 = 0

Move the constant term to the right:

Add '-6.666666667' to each side of the equation.
6.666666667 + 1.333333333x + -6.666666667 + x2 = 0 + -6.666666667

Reorder the terms:
6.666666667 + -6.666666667 + 1.333333333x + x2 = 0 + -6.666666667

Combine like terms: 6.666666667 + -6.666666667 = 0.000000000
0.000000000 + 1.333333333x + x2 = 0 + -6.666666667
1.333333333x + x2 = 0 + -6.666666667

Combine like terms: 0 + -6.666666667 = -6.666666667
1.333333333x + x2 = -6.666666667

The x term is 1.333333333x.  Take half its coefficient (0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
1.333333333x + 0.4444444442 + x2 = -6.666666667 + 0.4444444442

Reorder the terms:
0.4444444442 + 1.333333333x + x2 = -6.666666667 + 0.4444444442

Combine like terms: -6.666666667 + 0.4444444442 = -6.2222222228
0.4444444442 + 1.333333333x + x2 = -6.2222222228

Factor a perfect square on the left side:
(x + 0.6666666665)(x + 0.6666666665) = -6.2222222228

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 9y+15=-6y-3 | | 9-9x=54-30x | | 7f-2f+3f= | | x+5=3x+2 | | 3y=y+50 | | 6k-(4k-7)= | | 3x+9=-108-10x | | 0.6t-1.5=51 | | 1=6-2y | | 1=6-2y | | 36=-3y+12 | | 5s+16=51 | | 143=-11x | | -3(x-4)+4x=3-7 | | 16x+2-8x=40+16-10 | | 6x+34=14x-62 | | c^2+8c-20=0 | | 12x+25=7x+5 | | 3x-7=2x-21 | | 7t+5t+18-6=9t-3t-20 | | 3(x-1)=2x-1 | | 7=5/3+b | | 4x+10=7x+9 | | .06X+X=60.25 | | r^2-15=0 | | 6-x*9=36 | | -6x+3y=9 | | 8x-4+7=6x+x+9 | | 1-11x=-32 | | x*5+23=53 | | 1.25x+2.50=57.50 | | 1.25x+2.50=22.00 |

Equations solver categories