3x^2+35x-8.9=0

Simple and best practice solution for 3x^2+35x-8.9=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+35x-8.9=0 equation: 


Simplifying
3x2 + 35x + -8.9 = 0

Reorder the terms:
-8.9 + 35x + 3x2 = 0

Solving
-8.9 + 35x + 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'.
-2.966666667 + 11.66666667x + x2 = 0

Move the constant term to the right:

Add '2.966666667' to each side of the equation.
-2.966666667 + 11.66666667x + 2.966666667 + x2 = 0 + 2.966666667

Reorder the terms:
-2.966666667 + 2.966666667 + 11.66666667x + x2 = 0 + 2.966666667

Combine like terms: -2.966666667 + 2.966666667 = 0.000000000
0.000000000 + 11.66666667x + x2 = 0 + 2.966666667
11.66666667x + x2 = 0 + 2.966666667

Combine like terms: 0 + 2.966666667 = 2.966666667
11.66666667x + x2 = 2.966666667

The x term is 11.66666667x.  Take half its coefficient (5.833333335).
Square it (34.02777780) and add it to both sides.

Add '34.02777780' to each side of the equation.
11.66666667x + 34.02777780 + x2 = 2.966666667 + 34.02777780

Reorder the terms:
34.02777780 + 11.66666667x + x2 = 2.966666667 + 34.02777780

Combine like terms: 2.966666667 + 34.02777780 = 36.994444467
34.02777780 + 11.66666667x + x2 = 36.994444467

Factor a perfect square on the left side:
(x + 5.833333335)(x + 5.833333335) = 36.994444467

Calculate the square root of the right side: 6.082305851

Break this problem into two subproblems by setting 
(x + 5.833333335) equal to 6.082305851 and -6.082305851.


Subproblem 1
x + 5.833333335 = 6.082305851

Simplifying
x + 5.833333335 = 6.082305851

Reorder the terms:
5.833333335 + x = 6.082305851

Solving
5.833333335 + x = 6.082305851

Solving for variable 'x'.

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

Add '-5.833333335' to each side of the equation.
5.833333335 + -5.833333335 + x = 6.082305851 + -5.833333335

Combine like terms: 5.833333335 + -5.833333335 = 0.000000000
0.000000000 + x = 6.082305851 + -5.833333335
x = 6.082305851 + -5.833333335

Combine like terms: 6.082305851 + -5.833333335 = 0.248972516
x = 0.248972516

Simplifying
x = 0.248972516


Subproblem 2
x + 5.833333335 = -6.082305851

Simplifying
x + 5.833333335 = -6.082305851

Reorder the terms:
5.833333335 + x = -6.082305851

Solving
5.833333335 + x = -6.082305851

Solving for variable 'x'.

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

Add '-5.833333335' to each side of the equation.
5.833333335 + -5.833333335 + x = -6.082305851 + -5.833333335

Combine like terms: 5.833333335 + -5.833333335 = 0.000000000
0.000000000 + x = -6.082305851 + -5.833333335
x = -6.082305851 + -5.833333335

Combine like terms: -6.082305851 + -5.833333335 = -11.915639186
x = -11.915639186

Simplifying
x = -11.915639186


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.248972516, -11.915639186}

See similar equations:

| 7x+6x-12=5 | | -105-11x=-2x+57 | | 6a-3(-7a+4)=-120 | | .50x+.25(50)=25.5 | | 3x^2-24x-12=0 | | L=57-35k | | 3/4h=60 | | -18x-179=-24x+217 | | 1/3x-4=-7 | | 5=x^2-12x-32 | | 85-23=x | | 3/4n=5,1/4 | | -2x-10=-3x+19 | | 60=3/4h. | | j^2-16j=36 | | d+60=-2d-3 | | -3=-z-7 | | 2(w+6+9)+2(w+5)=160 | | 5.7(0.3)+6=x | | 4m-4-8=2m+12 | | 16b+7=b-653 | | 8x-(3+7)-3=0 | | 10t=23.9 | | x/5-7=6 | | (2x+5)x=130 | | 7/3x3/2x2 | | 9+-16= | | 4x^2-5(5)=12 | | 2-2a=36 | | -1(6-t)=36 | | 5*3c=150 | | C=AX+BD |

Equations solver categories