3x^2-17x-10=0

Simple and best practice solution for 3x^2-17x-10=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-10=0 equation: 


Simplifying
3x2 + -17x + -10 = 0

Reorder the terms:
-10 + -17x + 3x2 = 0

Solving
-10 + -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'.
-3.333333333 + -5.666666667x + x2 = 0

Move the constant term to the right:

Add '3.333333333' to each side of the equation.
-3.333333333 + -5.666666667x + 3.333333333 + x2 = 0 + 3.333333333

Reorder the terms:
-3.333333333 + 3.333333333 + -5.666666667x + x2 = 0 + 3.333333333

Combine like terms: -3.333333333 + 3.333333333 = 0.000000000
0.000000000 + -5.666666667x + x2 = 0 + 3.333333333
-5.666666667x + x2 = 0 + 3.333333333

Combine like terms: 0 + 3.333333333 = 3.333333333
-5.666666667x + x2 = 3.333333333

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 = 3.333333333 + 8.027777782

Reorder the terms:
8.027777782 + -5.666666667x + x2 = 3.333333333 + 8.027777782

Combine like terms: 3.333333333 + 8.027777782 = 11.361111115
8.027777782 + -5.666666667x + x2 = 11.361111115

Factor a perfect square on the left side:
(x + -2.833333334)(x + -2.833333334) = 11.361111115

Calculate the square root of the right side: 3.370624737

Break this problem into two subproblems by setting 
(x + -2.833333334) equal to 3.370624737 and -3.370624737.


Subproblem 1
x + -2.833333334 = 3.370624737

Simplifying
x + -2.833333334 = 3.370624737

Reorder the terms:
-2.833333334 + x = 3.370624737

Solving
-2.833333334 + x = 3.370624737

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 = 3.370624737 + 2.833333334

Combine like terms: -2.833333334 + 2.833333334 = 0.000000000
0.000000000 + x = 3.370624737 + 2.833333334
x = 3.370624737 + 2.833333334

Combine like terms: 3.370624737 + 2.833333334 = 6.203958071
x = 6.203958071

Simplifying
x = 6.203958071


Subproblem 2
x + -2.833333334 = -3.370624737

Simplifying
x + -2.833333334 = -3.370624737

Reorder the terms:
-2.833333334 + x = -3.370624737

Solving
-2.833333334 + x = -3.370624737

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 = -3.370624737 + 2.833333334

Combine like terms: -2.833333334 + 2.833333334 = 0.000000000
0.000000000 + x = -3.370624737 + 2.833333334
x = -3.370624737 + 2.833333334

Combine like terms: -3.370624737 + 2.833333334 = -0.537291403
x = -0.537291403

Simplifying
x = -0.537291403


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {6.203958071, -0.537291403}

See similar equations:

| 4x+1=36+12x | | C(x)=123+16x | | x+5-(2x)=68 | | 19-43=5(z-1)-4 | | 5x-21-2x=35 | | 11z+-5=9z+7 | | -7(x+4)-11=15+2 | | R(x)=x(72-4x) | | 3x^2y-6xy^2+12xy=0 | | 7m-1=5m+13 | | 10x-15y=55 | | V-1=6+v | | -5x^2+20x+160= | | f(x)=3(x+1)-2 | | x+(x+20)+15-(x+20)=124 | | -22=8+5k-5 | | .14(13+y)=4 | | 3(6+x)=24 | | q-3.81=5.81 | | t+4-6=56 | | 1=-8+5v+4v | | (3x-2)(9x^2+4)= | | -12=-p-3 | | (27x^3-8)=0 | | logx=7.65 | | -2(3x-6)+5=-2x+3+10x | | 9=-k-8k | | 3x-10=-16-10x | | 21=-8-8n+5 | | y-10y-5y=0 | | -9y-5=4y^2 | | -2(m+14)-1=3m+4 |

Equations solver categories