2x^2+8x-34=0

Simple and best practice solution for 2x^2+8x-34=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+8x-34=0 equation: 


Simplifying
2x2 + 8x + -34 = 0

Reorder the terms:
-34 + 8x + 2x2 = 0

Solving
-34 + 8x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-17 + 4x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-17 + 4x + x2)' equal to zero and attempt to solve:

Simplifying
-17 + 4x + x2 = 0

Solving
-17 + 4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '17' to each side of the equation.
-17 + 4x + 17 + x2 = 0 + 17

Reorder the terms:
-17 + 17 + 4x + x2 = 0 + 17

Combine like terms: -17 + 17 = 0
0 + 4x + x2 = 0 + 17
4x + x2 = 0 + 17

Combine like terms: 0 + 17 = 17
4x + x2 = 17

The x term is 4x.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x + 4 + x2 = 17 + 4

Reorder the terms:
4 + 4x + x2 = 17 + 4

Combine like terms: 17 + 4 = 21
4 + 4x + x2 = 21

Factor a perfect square on the left side:
(x + 2)(x + 2) = 21

Calculate the square root of the right side: 4.582575695

Break this problem into two subproblems by setting 
(x + 2) equal to 4.582575695 and -4.582575695.


Subproblem 1
x + 2 = 4.582575695

Simplifying
x + 2 = 4.582575695

Reorder the terms:
2 + x = 4.582575695

Solving
2 + x = 4.582575695

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + x = 4.582575695 + -2

Combine like terms: 2 + -2 = 0
0 + x = 4.582575695 + -2
x = 4.582575695 + -2

Combine like terms: 4.582575695 + -2 = 2.582575695
x = 2.582575695

Simplifying
x = 2.582575695


Subproblem 2
x + 2 = -4.582575695

Simplifying
x + 2 = -4.582575695

Reorder the terms:
2 + x = -4.582575695

Solving
2 + x = -4.582575695

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + x = -4.582575695 + -2

Combine like terms: 2 + -2 = 0
0 + x = -4.582575695 + -2
x = -4.582575695 + -2

Combine like terms: -4.582575695 + -2 = -6.582575695
x = -6.582575695

Simplifying
x = -6.582575695


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.582575695, -6.582575695}
Solution
x = {2.582575695, -6.582575695}

See similar equations:

| 6+16x-1=8x+57-5x | | 2x^2-2x-4=0 | | 17j+10=-3j+90 | | 5pq-3p(q-r)= | | x^2+16=-49 | | 6p-9=7p-11 | | 4-2n=5-n+1 | | x^2=-10 | | 3(3r+5)=24+10r | | 3(1.5+x)*4x=-8 | | 9-x=7 | | x^2+36=0 | | 5x+13x=90 | | (x+2)x(3)=240 | | 4g+-28=-3g | | 8+7= | | 4x^2-80=0 | | 3y-2+y+22=7y+20-5y | | x^2+6=240 | | 3x^2+11x-20=0 | | 5x^2=40 | | 3x^2+7x-20=0 | | -10.6x=74.2 | | 5+5q-(3q-9)= | | 27j-6=14+7 | | 18-2(w-3)=26 | | -4x-2=5x+7 | | x^2+8x-5=0 | | -7x-2+2x=6+8x | | -.5(q+2)=16 | | 6s=-24 | | x^2-10x-24=0 |

Equations solver categories