3x^2+4x+5=

Simple and best practice solution for 3x^2+4x+5= 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+5= equation:


Simplifying
3x2 + 4x + 5 = 0

Reorder the terms:
5 + 4x + 3x2 = 0

Solving
5 + 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'.
1.666666667 + 1.333333333x + x2 = 0

Move the constant term to the right:

Add '-1.666666667' to each side of the equation.
1.666666667 + 1.333333333x + -1.666666667 + x2 = 0 + -1.666666667

Reorder the terms:
1.666666667 + -1.666666667 + 1.333333333x + x2 = 0 + -1.666666667

Combine like terms: 1.666666667 + -1.666666667 = 0.000000000
0.000000000 + 1.333333333x + x2 = 0 + -1.666666667
1.333333333x + x2 = 0 + -1.666666667

Combine like terms: 0 + -1.666666667 = -1.666666667
1.333333333x + x2 = -1.666666667

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 = -1.666666667 + 0.4444444442

Reorder the terms:
0.4444444442 + 1.333333333x + x2 = -1.666666667 + 0.4444444442

Combine like terms: -1.666666667 + 0.4444444442 = -1.2222222228
0.4444444442 + 1.333333333x + x2 = -1.2222222228

Factor a perfect square on the left side:
(x + 0.6666666665)(x + 0.6666666665) = -1.2222222228

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 9a+4b+4+4a+5b+7=0 | | 2b+8b+a+6b+10=0 | | a+2b=10 | | x^2(x-4)=0 | | 24x^3-59x^2+23x-2=0 | | 5a+6+a+5+13a=0 | | X^3+5X^2-2X-24=0 | | 3a+7b+4+7a=0 | | 8x+y+4x+2y=0 | | 2X^3+5X^2-12X=0 | | x+3y+12+5y=0 | | 2x+9y+6x=0 | | 240=6m+18 | | y=0.6x+0.5 | | x-10=-7 | | 3y+10=22 | | -0.4b-5=0.6b+5 | | 4x+x+8=0 | | -6x-3=2x-14 | | 5(-2x-3-4(x+1))=7x-4 | | 3n-1=-1+3n | | X^2+7X+13=0 | | 5x^2+16x+70=0 | | 2c+1=4c-2 | | 8x+9y=0 | | 9.7x+35.29=-10.3+33.93 | | 7.8x-2.5=5.3 | | 4a-2y=8 | | x^2+14x-12y+97=0 | | x+8y+12=0 | | a+16b+10=0 | | 4a+3b+1=0 |

Equations solver categories