3x^2-17x-2=0

Simple and best practice solution for 3x^2-17x-2=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^2-17x-2=0 equation: 


Simplifying
3x2 + -17x + -2 = 0

Reorder the terms:
-2 + -17x + 3x2 = 0

Solving
-2 + -17x + 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'.
-0.6666666667 + -5.666666667x + x2 = 0

Move the constant term to the right:

Add '0.6666666667' to each side of the equation.
-0.6666666667 + -5.666666667x + 0.6666666667 + x2 = 0 + 0.6666666667

Reorder the terms:
-0.6666666667 + 0.6666666667 + -5.666666667x + x2 = 0 + 0.6666666667

Combine like terms: -0.6666666667 + 0.6666666667 = 0.0000000000
0.0000000000 + -5.666666667x + x2 = 0 + 0.6666666667
-5.666666667x + x2 = 0 + 0.6666666667

Combine like terms: 0 + 0.6666666667 = 0.6666666667
-5.666666667x + x2 = 0.6666666667

The x term is -5.666666667x.  Take half its coefficient (-2.833333334).
Square it (8.027777782) and add it to both sides.

Add '8.027777782' to each side of the equation.
-5.666666667x + 8.027777782 + x2 = 0.6666666667 + 8.027777782

Reorder the terms:
8.027777782 + -5.666666667x + x2 = 0.6666666667 + 8.027777782

Combine like terms: 0.6666666667 + 8.027777782 = 8.6944444487
8.027777782 + -5.666666667x + x2 = 8.6944444487

Factor a perfect square on the left side:
(x + -2.833333334)(x + -2.833333334) = 8.6944444487

Calculate the square root of the right side: 2.948634336

Break this problem into two subproblems by setting 
(x + -2.833333334) equal to 2.948634336 and -2.948634336.


Subproblem 1
x + -2.833333334 = 2.948634336

Simplifying
x + -2.833333334 = 2.948634336

Reorder the terms:
-2.833333334 + x = 2.948634336

Solving
-2.833333334 + x = 2.948634336

Solving for variable 'x'.

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

Add '2.833333334' to each side of the equation.
-2.833333334 + 2.833333334 + x = 2.948634336 + 2.833333334

Combine like terms: -2.833333334 + 2.833333334 = 0.000000000
0.000000000 + x = 2.948634336 + 2.833333334
x = 2.948634336 + 2.833333334

Combine like terms: 2.948634336 + 2.833333334 = 5.78196767
x = 5.78196767

Simplifying
x = 5.78196767


Subproblem 2
x + -2.833333334 = -2.948634336

Simplifying
x + -2.833333334 = -2.948634336

Reorder the terms:
-2.833333334 + x = -2.948634336

Solving
-2.833333334 + x = -2.948634336

Solving for variable 'x'.

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

Add '2.833333334' to each side of the equation.
-2.833333334 + 2.833333334 + x = -2.948634336 + 2.833333334

Combine like terms: -2.833333334 + 2.833333334 = 0.000000000
0.000000000 + x = -2.948634336 + 2.833333334
x = -2.948634336 + 2.833333334

Combine like terms: -2.948634336 + 2.833333334 = -0.115301002
x = -0.115301002

Simplifying
x = -0.115301002


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {5.78196767, -0.115301002}

See similar equations:

| 8/6n-4*(9n^2-4) | | X/2=(x-2)/18 | | 49-16y^2=0 | | X/265=(x-280)/185 | | X/265000=x-280000/185000 | | X/265000=(x-280000)/185000 | | 9-abs(3x+9)=3 | | (x+y)dx+(2x+2y-1)dy=0 | | -8/27-4/3 | | 4y^2+29y+30=0 | | 4x-0=7 | | -8x^6-4x^5= | | 7(-1)= | | (x-2)(x-2)=40 | | x(x+1)=x+x+1 | | t^2+8t=-15 | | .40(x-.5)=13 | | (z*z)+8z=-15 | | .25x-.666=.166 | | (t*t)-30t+29=0 | | (18+3)+(14+5)=(14+5)+(18+3) | | 28x-7y+13-18x-6-3y= | | 5x-14+2x=76 | | 37x-4=23 | | X=15000-.25x | | 52=13b | | q^2+6q+8=0 | | -2.5(g-8)-0.7g= | | -1/3( | | g(x)=8+2x+e^2x-6 | | f^1(x)=4x^3+3x^2+3x+3 | | f-1(x)=4x^3+3x^2+3x+3 |

Equations solver categories