2x^2+34x-220=5000

Simple and best practice solution for 2x^2+34x-220=5000 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 2x^2+34x-220=5000 equation:


Simplifying
2x2 + 34x + -220 = 5000

Reorder the terms:
-220 + 34x + 2x2 = 5000

Solving
-220 + 34x + 2x2 = 5000

Solving for variable 'x'.

Reorder the terms:
-220 + -5000 + 34x + 2x2 = 5000 + -5000

Combine like terms: -220 + -5000 = -5220
-5220 + 34x + 2x2 = 5000 + -5000

Combine like terms: 5000 + -5000 = 0
-5220 + 34x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-2610 + 17x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-2610 + 17x + x2)' equal to zero and attempt to solve:

Simplifying
-2610 + 17x + x2 = 0

Solving
-2610 + 17x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '2610' to each side of the equation.
-2610 + 17x + 2610 + x2 = 0 + 2610

Reorder the terms:
-2610 + 2610 + 17x + x2 = 0 + 2610

Combine like terms: -2610 + 2610 = 0
0 + 17x + x2 = 0 + 2610
17x + x2 = 0 + 2610

Combine like terms: 0 + 2610 = 2610
17x + x2 = 2610

The x term is 17x.  Take half its coefficient (8.5).
Square it (72.25) and add it to both sides.

Add '72.25' to each side of the equation.
17x + 72.25 + x2 = 2610 + 72.25

Reorder the terms:
72.25 + 17x + x2 = 2610 + 72.25

Combine like terms: 2610 + 72.25 = 2682.25
72.25 + 17x + x2 = 2682.25

Factor a perfect square on the left side:
(x + 8.5)(x + 8.5) = 2682.25

Calculate the square root of the right side: 51.790443134

Break this problem into two subproblems by setting 
(x + 8.5) equal to 51.790443134 and -51.790443134.


Subproblem 1
x + 8.5 = 51.790443134

Simplifying
x + 8.5 = 51.790443134

Reorder the terms:
8.5 + x = 51.790443134

Solving
8.5 + x = 51.790443134

Solving for variable 'x'.

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

Add '-8.5' to each side of the equation.
8.5 + -8.5 + x = 51.790443134 + -8.5

Combine like terms: 8.5 + -8.5 = 0.0
0.0 + x = 51.790443134 + -8.5
x = 51.790443134 + -8.5

Combine like terms: 51.790443134 + -8.5 = 43.290443134
x = 43.290443134

Simplifying
x = 43.290443134


Subproblem 2
x + 8.5 = -51.790443134

Simplifying
x + 8.5 = -51.790443134

Reorder the terms:
8.5 + x = -51.790443134

Solving
8.5 + x = -51.790443134

Solving for variable 'x'.

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

Add '-8.5' to each side of the equation.
8.5 + -8.5 + x = -51.790443134 + -8.5

Combine like terms: 8.5 + -8.5 = 0.0
0.0 + x = -51.790443134 + -8.5
x = -51.790443134 + -8.5

Combine like terms: -51.790443134 + -8.5 = -60.290443134
x = -60.290443134

Simplifying
x = -60.290443134


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {43.290443134, -60.290443134}
Solution
x = {43.290443134, -60.290443134}

See similar equations:

| 3m^2-10m+15=0 | | (y-9)/2=-6 | | 2/4=n/6 | | -4y=5x+16 | | -2/3-2-5 | | 8z-11z=3z | | 3[5-(2x-6)]-[4(x+y)-3]= | | 9/10x=63 | | r=6km*m | | 1/6(10x-8)=7 | | x+30=0 | | 11/9x211/12 | | f(x)=5 | | 5+27=x(3) | | 2g+12-4h-2g= | | x+21=3x-9 | | 2x-1.1=x-.6 | | 2x=(x+24) | | x(3)=27+5 | | 5-6x=4+7 | | 27+5=x(3) | | 4x^2+6x-180=0 | | g=n(-1) | | x^2-16x+63/(x-7)(x-7) | | 45^6/5 | | 45p^6/5p | | =3x^2-5x-12 | | x+x+70=180 | | (7+2x)(6+2x)=156 | | x+7=2x+2 | | 35-39=-3x+10x-6x | | 4x^2+26x+42=156 |

Equations solver categories