6x^2+17x-4=0

Simple and best practice solution for 6x^2+17x-4=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+17x-4=0 equation: 


Simplifying
6x2 + 17x + -4 = 0

Reorder the terms:
-4 + 17x + 6x2 = 0

Solving
-4 + 17x + 6x2 = 0

Solving for variable 'x'.

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

Divide each side by '6'.
-0.6666666667 + 2.833333333x + x2 = 0

Move the constant term to the right:

Add '0.6666666667' to each side of the equation.
-0.6666666667 + 2.833333333x + 0.6666666667 + x2 = 0 + 0.6666666667

Reorder the terms:
-0.6666666667 + 0.6666666667 + 2.833333333x + x2 = 0 + 0.6666666667

Combine like terms: -0.6666666667 + 0.6666666667 = 0.0000000000
0.0000000000 + 2.833333333x + x2 = 0 + 0.6666666667
2.833333333x + x2 = 0 + 0.6666666667

Combine like terms: 0 + 0.6666666667 = 0.6666666667
2.833333333x + x2 = 0.6666666667

The x term is 2.833333333x.  Take half its coefficient (1.416666667).
Square it (2.006944445) and add it to both sides.

Add '2.006944445' to each side of the equation.
2.833333333x + 2.006944445 + x2 = 0.6666666667 + 2.006944445

Reorder the terms:
2.006944445 + 2.833333333x + x2 = 0.6666666667 + 2.006944445

Combine like terms: 0.6666666667 + 2.006944445 = 2.6736111117
2.006944445 + 2.833333333x + x2 = 2.6736111117

Factor a perfect square on the left side:
(x + 1.416666667)(x + 1.416666667) = 2.6736111117

Calculate the square root of the right side: 1.635118073

Break this problem into two subproblems by setting 
(x + 1.416666667) equal to 1.635118073 and -1.635118073.


Subproblem 1
x + 1.416666667 = 1.635118073

Simplifying
x + 1.416666667 = 1.635118073

Reorder the terms:
1.416666667 + x = 1.635118073

Solving
1.416666667 + x = 1.635118073

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1.416666667' to each side of the equation.
1.416666667 + -1.416666667 + x = 1.635118073 + -1.416666667

Combine like terms: 1.416666667 + -1.416666667 = 0.000000000
0.000000000 + x = 1.635118073 + -1.416666667
x = 1.635118073 + -1.416666667

Combine like terms: 1.635118073 + -1.416666667 = 0.218451406
x = 0.218451406

Simplifying
x = 0.218451406


Subproblem 2
x + 1.416666667 = -1.635118073

Simplifying
x + 1.416666667 = -1.635118073

Reorder the terms:
1.416666667 + x = -1.635118073

Solving
1.416666667 + x = -1.635118073

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1.416666667' to each side of the equation.
1.416666667 + -1.416666667 + x = -1.635118073 + -1.416666667

Combine like terms: 1.416666667 + -1.416666667 = 0.000000000
0.000000000 + x = -1.635118073 + -1.416666667
x = -1.635118073 + -1.416666667

Combine like terms: -1.635118073 + -1.416666667 = -3.05178474
x = -3.05178474

Simplifying
x = -3.05178474


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.218451406, -3.05178474}

See similar equations:

| 9x-26=11x+10 | | cos^2(x)-1=0 | | 8.84n+2.86=-2.78n+6.09 | | X-56=27 | | 3(x+4)-4(3x-10)=4(2x-3)+6(3x-1) | | 2x-4(x+1)=-(5x+8)+x | | 2x+2x+12=24 | | 40=10+7x | | 9x-7x=-18 | | 4.2x-11.36=4.6 | | 3x+4y+5z=300000 | | 4z-2(z-9)=2+3z | | -6(5-y)= | | 43x-9y=12 | | 12(4x+3)=50 | | -6x=-3x-51 | | 2085000000+5550000x=2500000x | | 19-11=4(x-7) | | -7625+185x=12 | | x^2-10x+c=x^2-2xd-d^2 | | X-(y+2)=1-3x | | m+2m+7m-2= | | -2.1k+4.7=-1.7k+1.5 | | 2n+4=9 | | log(4x)=42 | | e^3x-6=70 | | ln(4x)=42 | | .125t+.75t-3=4 | | =29(1*0)+1 | | ln(x-3)+ln(x+3)=ln(16) | | x*lnx-x=0 | | 5(c+7)=7+x |

Equations solver categories