3x^2-8x-10=0

Simple and best practice solution for 3x^2-8x-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^2-8x-10=0 equation: 


Simplifying
3x2 + -8x + -10 = 0

Reorder the terms:
-10 + -8x + 3x2 = 0

Solving
-10 + -8x + 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 + -2.666666667x + x2 = 0

Move the constant term to the right:

Add '3.333333333' to each side of the equation.
-3.333333333 + -2.666666667x + 3.333333333 + x2 = 0 + 3.333333333

Reorder the terms:
-3.333333333 + 3.333333333 + -2.666666667x + x2 = 0 + 3.333333333

Combine like terms: -3.333333333 + 3.333333333 = 0.000000000
0.000000000 + -2.666666667x + x2 = 0 + 3.333333333
-2.666666667x + x2 = 0 + 3.333333333

Combine like terms: 0 + 3.333333333 = 3.333333333
-2.666666667x + x2 = 3.333333333

The x term is -2.666666667x.  Take half its coefficient (-1.333333334).
Square it (1.777777780) and add it to both sides.

Add '1.777777780' to each side of the equation.
-2.666666667x + 1.777777780 + x2 = 3.333333333 + 1.777777780

Reorder the terms:
1.777777780 + -2.666666667x + x2 = 3.333333333 + 1.777777780

Combine like terms: 3.333333333 + 1.777777780 = 5.111111113
1.777777780 + -2.666666667x + x2 = 5.111111113

Factor a perfect square on the left side:
(x + -1.333333334)(x + -1.333333334) = 5.111111113

Calculate the square root of the right side: 2.260776661

Break this problem into two subproblems by setting 
(x + -1.333333334) equal to 2.260776661 and -2.260776661.


Subproblem 1
x + -1.333333334 = 2.260776661

Simplifying
x + -1.333333334 = 2.260776661

Reorder the terms:
-1.333333334 + x = 2.260776661

Solving
-1.333333334 + x = 2.260776661

Solving for variable 'x'.

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

Add '1.333333334' to each side of the equation.
-1.333333334 + 1.333333334 + x = 2.260776661 + 1.333333334

Combine like terms: -1.333333334 + 1.333333334 = 0.000000000
0.000000000 + x = 2.260776661 + 1.333333334
x = 2.260776661 + 1.333333334

Combine like terms: 2.260776661 + 1.333333334 = 3.594109995
x = 3.594109995

Simplifying
x = 3.594109995


Subproblem 2
x + -1.333333334 = -2.260776661

Simplifying
x + -1.333333334 = -2.260776661

Reorder the terms:
-1.333333334 + x = -2.260776661

Solving
-1.333333334 + x = -2.260776661

Solving for variable 'x'.

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

Add '1.333333334' to each side of the equation.
-1.333333334 + 1.333333334 + x = -2.260776661 + 1.333333334

Combine like terms: -1.333333334 + 1.333333334 = 0.000000000
0.000000000 + x = -2.260776661 + 1.333333334
x = -2.260776661 + 1.333333334

Combine like terms: -2.260776661 + 1.333333334 = -0.927443327
x = -0.927443327

Simplifying
x = -0.927443327


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {3.594109995, -0.927443327}

See similar equations:

| 9x+27=12 | | 3x+y-8=0 | | 8c^3+343=0 | | 6x+2+6=14 | | 3x+5=4c+5 | | 16k^2-4k+9=11k^2-2k | | -11-5-10-(-5)-8= | | r+4.1=1.9 | | 15(j-3)+3=45 | | 2-6-(-3)= | | 8x=33-25 | | 2=4(x-2)-6x | | -5-(-4)-1= | | 15x+7-2x=19 | | 97-(-5)= | | 2x^2-11x=138 | | 12y+5-3=0 | | 12y-5-3=0 | | 77-(-16)= | | 2x+28=100 | | 12y-5+3=0 | | 6y^2-5+3=0 | | 6y^2-5x+3=0 | | 6y^2-5x+3y=0 | | -p-4p=-4 | | 12y-5x+3y=0 | | 7r-14r=-7 | | 13a^2+14a+15=9+7a+10a^2 | | -6w=84 | | 12y-5x+3=0 | | -8-(-3)-1= | | 12y+5x-3=0 |

Equations solver categories