2x^2-4x-170=0

Simple and best practice solution for 2x^2-4x-170=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 2x^2-4x-170=0 equation:


Simplifying
2x2 + -4x + -170 = 0

Reorder the terms:
-170 + -4x + 2x2 = 0

Solving
-170 + -4x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-85 + -2x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-85 + -2x + x2)' equal to zero and attempt to solve:

Simplifying
-85 + -2x + x2 = 0

Solving
-85 + -2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '85' to each side of the equation.
-85 + -2x + 85 + x2 = 0 + 85

Reorder the terms:
-85 + 85 + -2x + x2 = 0 + 85

Combine like terms: -85 + 85 = 0
0 + -2x + x2 = 0 + 85
-2x + x2 = 0 + 85

Combine like terms: 0 + 85 = 85
-2x + x2 = 85

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = 85 + 1

Reorder the terms:
1 + -2x + x2 = 85 + 1

Combine like terms: 85 + 1 = 86
1 + -2x + x2 = 86

Factor a perfect square on the left side:
(x + -1)(x + -1) = 86

Calculate the square root of the right side: 9.273618495

Break this problem into two subproblems by setting 
(x + -1) equal to 9.273618495 and -9.273618495.


Subproblem 1
x + -1 = 9.273618495

Simplifying
x + -1 = 9.273618495

Reorder the terms:
-1 + x = 9.273618495

Solving
-1 + x = 9.273618495

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + x = 9.273618495 + 1

Combine like terms: -1 + 1 = 0
0 + x = 9.273618495 + 1
x = 9.273618495 + 1

Combine like terms: 9.273618495 + 1 = 10.273618495
x = 10.273618495

Simplifying
x = 10.273618495


Subproblem 2
x + -1 = -9.273618495

Simplifying
x + -1 = -9.273618495

Reorder the terms:
-1 + x = -9.273618495

Solving
-1 + x = -9.273618495

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + x = -9.273618495 + 1

Combine like terms: -1 + 1 = 0
0 + x = -9.273618495 + 1
x = -9.273618495 + 1

Combine like terms: -9.273618495 + 1 = -8.273618495
x = -8.273618495

Simplifying
x = -8.273618495


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {10.273618495, -8.273618495}
Solution
x = {10.273618495, -8.273618495}

See similar equations:

| 3x(x+1)=21 | | 2x-9y=36 | | D^2+6d-8=0 | | -5d=35 | | 20=14+3x | | -(86)= | | 4n-10n+12=-12 | | 3v+1=3y-4 | | 99=3(1+4m) | | .04y=.02-y | | 0=-12x^2-120x+209 | | -n-23=-5+n | | b-1+5b=22 | | 3(y+3)=21 | | 4y-5=13+y | | -15=-3 | | -n-23=5+n | | -(5y+1)-(-4y-8)=6 | | -45+y=-7 | | 0.61-0.4(2.1y+3)=0.2(2y+5.2) | | 4x-7=27 | | 8w-2w+7+w-3= | | -6x+8=-7 | | 8+d=21 | | 25x^2+10x=0 | | 2=-x+2x+2 | | 8(4+4r)=224 | | .9r=0.3 | | 2a-47=a-4 | | 112=.75*b*7 | | 6y-3=16+5(y-2) | | -13=2x+2x+7 |

Equations solver categories