3x^2+35x-7.9=0

Simple and best practice solution for 3x^2+35x-7.9=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-7.9=0 equation: 


Simplifying
3x2 + 35x + -7.9 = 0

Reorder the terms:
-7.9 + 35x + 3x2 = 0

Solving
-7.9 + 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'.
-2.633333333 + 11.66666667x + x2 = 0

Move the constant term to the right:

Add '2.633333333' to each side of the equation.
-2.633333333 + 11.66666667x + 2.633333333 + x2 = 0 + 2.633333333

Reorder the terms:
-2.633333333 + 2.633333333 + 11.66666667x + x2 = 0 + 2.633333333

Combine like terms: -2.633333333 + 2.633333333 = 0.000000000
0.000000000 + 11.66666667x + x2 = 0 + 2.633333333
11.66666667x + x2 = 0 + 2.633333333

Combine like terms: 0 + 2.633333333 = 2.633333333
11.66666667x + x2 = 2.633333333

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 = 2.633333333 + 34.02777780

Reorder the terms:
34.02777780 + 11.66666667x + x2 = 2.633333333 + 34.02777780

Combine like terms: 2.633333333 + 34.02777780 = 36.661111133
34.02777780 + 11.66666667x + x2 = 36.661111133

Factor a perfect square on the left side:
(x + 5.833333335)(x + 5.833333335) = 36.661111133

Calculate the square root of the right side: 6.054841958

Break this problem into two subproblems by setting 
(x + 5.833333335) equal to 6.054841958 and -6.054841958.


Subproblem 1
x + 5.833333335 = 6.054841958

Simplifying
x + 5.833333335 = 6.054841958

Reorder the terms:
5.833333335 + x = 6.054841958

Solving
5.833333335 + x = 6.054841958

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 = 6.054841958 + -5.833333335

Combine like terms: 5.833333335 + -5.833333335 = 0.000000000
0.000000000 + x = 6.054841958 + -5.833333335
x = 6.054841958 + -5.833333335

Combine like terms: 6.054841958 + -5.833333335 = 0.221508623
x = 0.221508623

Simplifying
x = 0.221508623


Subproblem 2
x + 5.833333335 = -6.054841958

Simplifying
x + 5.833333335 = -6.054841958

Reorder the terms:
5.833333335 + x = -6.054841958

Solving
5.833333335 + x = -6.054841958

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 = -6.054841958 + -5.833333335

Combine like terms: 5.833333335 + -5.833333335 = 0.000000000
0.000000000 + x = -6.054841958 + -5.833333335
x = -6.054841958 + -5.833333335

Combine like terms: -6.054841958 + -5.833333335 = -11.888175293
x = -11.888175293

Simplifying
x = -11.888175293


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.221508623, -11.888175293}

See similar equations:

| 15x-8x=3 | | 3u=27 | | 0.1*37+.25=x | | 4k+6f-700=6k+5f+800 | | 4p+2p=300 | | 8+4x=9+x | | 6x-3=2x+4x-18 | | 22=4a+10 | | 0.1*36+2.5=x | | 2(0.5x-y)=4.6 | | 45(15+x)=35 | | 9(g+6)=6 | | 0.1*37+2.5=x | | 3.9+2.6+2.7+a=12.3 | | x-10.2=12.5 | | 2(2x-6)-x=3 | | 34y=-26 | | .55(f-32)=-62.1 | | 3x-15=-75 | | 12-7k=-5k-6k | | 0.1*36=x | | 13r=69 | | 7x+2x=10 | | (6x+4)(x-3)= | | 3*3(9-2)+5c+5=256(7*3.14) | | 4k+6f=#700and6k+5f=#800 | | 33t=66 | | 3x=(y+z)+8 | | 2y+6y-4=32 | | 6x^2-22x+20=323 | | 44x+30=95x+25 | | 2x*y=36 |

Equations solver categories