3x^2-19x-95=0

Simple and best practice solution for 3x^2-19x-95=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^2-19x-95=0 equation: 


Simplifying
3x2 + -19x + -95 = 0

Reorder the terms:
-95 + -19x + 3x2 = 0

Solving
-95 + -19x + 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'.
-31.66666667 + -6.333333333x + x2 = 0

Move the constant term to the right:

Add '31.66666667' to each side of the equation.
-31.66666667 + -6.333333333x + 31.66666667 + x2 = 0 + 31.66666667

Reorder the terms:
-31.66666667 + 31.66666667 + -6.333333333x + x2 = 0 + 31.66666667

Combine like terms: -31.66666667 + 31.66666667 = 0.00000000
0.00000000 + -6.333333333x + x2 = 0 + 31.66666667
-6.333333333x + x2 = 0 + 31.66666667

Combine like terms: 0 + 31.66666667 = 31.66666667
-6.333333333x + x2 = 31.66666667

The x term is -6.333333333x.  Take half its coefficient (-3.166666667).
Square it (10.02777778) and add it to both sides.

Add '10.02777778' to each side of the equation.
-6.333333333x + 10.02777778 + x2 = 31.66666667 + 10.02777778

Reorder the terms:
10.02777778 + -6.333333333x + x2 = 31.66666667 + 10.02777778

Combine like terms: 31.66666667 + 10.02777778 = 41.69444445
10.02777778 + -6.333333333x + x2 = 41.69444445

Factor a perfect square on the left side:
(x + -3.166666667)(x + -3.166666667) = 41.69444445

Calculate the square root of the right side: 6.457123543

Break this problem into two subproblems by setting 
(x + -3.166666667) equal to 6.457123543 and -6.457123543.


Subproblem 1
x + -3.166666667 = 6.457123543

Simplifying
x + -3.166666667 = 6.457123543

Reorder the terms:
-3.166666667 + x = 6.457123543

Solving
-3.166666667 + x = 6.457123543

Solving for variable 'x'.

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

Add '3.166666667' to each side of the equation.
-3.166666667 + 3.166666667 + x = 6.457123543 + 3.166666667

Combine like terms: -3.166666667 + 3.166666667 = 0.000000000
0.000000000 + x = 6.457123543 + 3.166666667
x = 6.457123543 + 3.166666667

Combine like terms: 6.457123543 + 3.166666667 = 9.62379021
x = 9.62379021

Simplifying
x = 9.62379021


Subproblem 2
x + -3.166666667 = -6.457123543

Simplifying
x + -3.166666667 = -6.457123543

Reorder the terms:
-3.166666667 + x = -6.457123543

Solving
-3.166666667 + x = -6.457123543

Solving for variable 'x'.

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

Add '3.166666667' to each side of the equation.
-3.166666667 + 3.166666667 + x = -6.457123543 + 3.166666667

Combine like terms: -3.166666667 + 3.166666667 = 0.000000000
0.000000000 + x = -6.457123543 + 3.166666667
x = -6.457123543 + 3.166666667

Combine like terms: -6.457123543 + 3.166666667 = -3.290456876
x = -3.290456876

Simplifying
x = -3.290456876


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {9.62379021, -3.290456876}

See similar equations:

| 4x-(9x-6)=49 | | 3x+1=6x-8 | | 8x-6x=16 | | 3(x+2)=x-2(x+2) | | (x+2)=x-2(x+2) | | 9a-7a=28 | | 8y-y=63 | | 5m+15m=40 | | 5a-a=6 | | 9d-d=40 | | 8x-7.5=6x+1.5 | | 9a-7a=14 | | Y=(x+1)(x+5) | | 8x^4-16x^3+x-2=0 | | 2x+8=-x+1 | | 4x+x+2.5x=22 | | 4x+x+2.5x=19 | | Y=35-0.5p | | 2n^2+n^2=100 | | 2y^2+22y+56=0 | | 1x+4*2x=20 | | lg(5x)+lg(25x^2)= | | 840-5x=y | | 5t^2+9t-45=0 | | ln(x^5)=0 | | 2b^2+b^2=10 | | 5x+22=14x+50 | | 2x=1.5x+8 | | ln(x+1)-ln(x+3)=1 | | 8+-4y=4(2y+-2)+-2(-16+8y) | | 3x(2x-1)=4 | | 0.13x+0.09= |

Equations solver categories