6x^2+12x+34=0

Simple and best practice solution for 6x^2+12x+34=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 6x^2+12x+34=0 equation: 


Simplifying
6x2 + 12x + 34 = 0

Reorder the terms:
34 + 12x + 6x2 = 0

Solving
34 + 12x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(17 + 6x + 3x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(17 + 6x + 3x2)' equal to zero and attempt to solve:

Simplifying
17 + 6x + 3x2 = 0

Solving
17 + 6x + 3x2 = 0

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

Divide each side by '3'.
5.666666667 + 2x + x2 = 0

Move the constant term to the right:

Add '-5.666666667' to each side of the equation.
5.666666667 + 2x + -5.666666667 + x2 = 0 + -5.666666667

Reorder the terms:
5.666666667 + -5.666666667 + 2x + x2 = 0 + -5.666666667

Combine like terms: 5.666666667 + -5.666666667 = 0.000000000
0.000000000 + 2x + x2 = 0 + -5.666666667
2x + x2 = 0 + -5.666666667

Combine like terms: 0 + -5.666666667 = -5.666666667
2x + x2 = -5.666666667

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 = -5.666666667 + 1

Reorder the terms:
1 + 2x + x2 = -5.666666667 + 1

Combine like terms: -5.666666667 + 1 = -4.666666667
1 + 2x + x2 = -4.666666667

Factor a perfect square on the left side:
(x + 1)(x + 1) = -4.666666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| 1/2x-3/10x=x-1/2 | | 5x+91238123-x=12421 | | 4/5x-2/15x=x-3/7 | | 3/4x-1/12x=x-2/5 | | (5-a)(-7)= | | 3/4x-1/12=x-2/5 | | 37.1=37 | | 7n-10=4n+5 | | 2/5x+1=x+1/2 | | 4(6x)= | | -8+c+(-10)= | | (3v^3)+(7v^2)-15v-35=0 | | 3(t-1)=3(t+7) | | t+24+17= | | 119-5x=13x+17 | | 3/4x+1=x+5/6 | | 3(2x+5)=3(x+1) | | (-7)(-15)(-6)*0*3= | | 3x-35/5=-4 | | 5x+12=108-7x | | 12+7x=33 | | -2-3x=7x+24 | | F(x)=35x^2-2x-1 | | 3b/7+6=12 | | 50.00+1.75n=39.99+2.50n | | 5p+7=97 | | t/4+5=11 | | 315-180/135=c | | 7/3+1/2t=7 | | 2(x+1)+2(x-1)= | | 4(-1+x)=5x-1/4 | | 1/5(2x-3)=5 |

Equations solver categories