6x^2-16x-5=0

Simple and best practice solution for 6x^2-16x-5=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^2-16x-5=0 equation: 


Simplifying
6x2 + -16x + -5 = 0

Reorder the terms:
-5 + -16x + 6x2 = 0

Solving
-5 + -16x + 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'.
-0.8333333333 + -2.666666667x + x2 = 0

Move the constant term to the right:

Add '0.8333333333' to each side of the equation.
-0.8333333333 + -2.666666667x + 0.8333333333 + x2 = 0 + 0.8333333333

Reorder the terms:
-0.8333333333 + 0.8333333333 + -2.666666667x + x2 = 0 + 0.8333333333

Combine like terms: -0.8333333333 + 0.8333333333 = 0.0000000000
0.0000000000 + -2.666666667x + x2 = 0 + 0.8333333333
-2.666666667x + x2 = 0 + 0.8333333333

Combine like terms: 0 + 0.8333333333 = 0.8333333333
-2.666666667x + x2 = 0.8333333333

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 = 0.8333333333 + 1.777777780

Reorder the terms:
1.777777780 + -2.666666667x + x2 = 0.8333333333 + 1.777777780

Combine like terms: 0.8333333333 + 1.777777780 = 2.6111111133
1.777777780 + -2.666666667x + x2 = 2.6111111133

Factor a perfect square on the left side:
(x + -1.333333334)(x + -1.333333334) = 2.6111111133

Calculate the square root of the right side: 1.615893286

Break this problem into two subproblems by setting 
(x + -1.333333334) equal to 1.615893286 and -1.615893286.


Subproblem 1
x + -1.333333334 = 1.615893286

Simplifying
x + -1.333333334 = 1.615893286

Reorder the terms:
-1.333333334 + x = 1.615893286

Solving
-1.333333334 + x = 1.615893286

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 = 1.615893286 + 1.333333334

Combine like terms: -1.333333334 + 1.333333334 = 0.000000000
0.000000000 + x = 1.615893286 + 1.333333334
x = 1.615893286 + 1.333333334

Combine like terms: 1.615893286 + 1.333333334 = 2.94922662
x = 2.94922662

Simplifying
x = 2.94922662


Subproblem 2
x + -1.333333334 = -1.615893286

Simplifying
x + -1.333333334 = -1.615893286

Reorder the terms:
-1.333333334 + x = -1.615893286

Solving
-1.333333334 + x = -1.615893286

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 = -1.615893286 + 1.333333334

Combine like terms: -1.333333334 + 1.333333334 = 0.000000000
0.000000000 + x = -1.615893286 + 1.333333334
x = -1.615893286 + 1.333333334

Combine like terms: -1.615893286 + 1.333333334 = -0.282559952
x = -0.282559952

Simplifying
x = -0.282559952


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.94922662, -0.282559952}

See similar equations:

| m-9=-18 | | 9x^2-41x-40=0 | | x^4+5x^3+4x^2-15=0 | | 3+2x+1= | | -x=2x+9 | | 78x-556=6 | | m-9=-2 | | -3(4x+1)-2=-4(x+4)+5x | | 3x+6+x= | | 49w^2-70w+25=0 | | -6x-x= | | 7x+2-2x+3=12 | | -6x^2-11x+7= | | 6(4z-1)-3(z+8)=19z+1 | | 7x+2-2x+3= | | -6x-x+6+5= | | 7x-1=2x(7+5) | | 8n-7n+6=6 | | 6(c-4)+4=3+c-23 | | 6x/4=2x | | 18x+4y=112 | | 3(2z-2)=5(z+4) | | 3x+7=8+9x | | -7(x+9)-(8x-3)=6 | | 8.64x-9=2x*45 | | 3y-6+y+32=7y+30-5y | | 25+f=7 | | 5x+4y=-40 | | 16x^2-16x=48x^2+3 | | 3(t-6)+2=4(t+2)-21 | | 14/49= | | 41x^2-41x=-15x^2+7 |

Equations solver categories