2x^2+17x-6.9=0

Simple and best practice solution for 2x^2+17x-6.9=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 2x^2+17x-6.9=0 equation: 


Simplifying
2x2 + 17x + -6.9 = 0

Reorder the terms:
-6.9 + 17x + 2x2 = 0

Solving
-6.9 + 17x + 2x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
-3.45 + 8.5x + x2 = 0

Move the constant term to the right:

Add '3.45' to each side of the equation.
-3.45 + 8.5x + 3.45 + x2 = 0 + 3.45

Reorder the terms:
-3.45 + 3.45 + 8.5x + x2 = 0 + 3.45

Combine like terms: -3.45 + 3.45 = 0.00
0.00 + 8.5x + x2 = 0 + 3.45
8.5x + x2 = 0 + 3.45

Combine like terms: 0 + 3.45 = 3.45
8.5x + x2 = 3.45

The x term is 8.5x.  Take half its coefficient (4.25).
Square it (18.0625) and add it to both sides.

Add '18.0625' to each side of the equation.
8.5x + 18.0625 + x2 = 3.45 + 18.0625

Reorder the terms:
18.0625 + 8.5x + x2 = 3.45 + 18.0625

Combine like terms: 3.45 + 18.0625 = 21.5125
18.0625 + 8.5x + x2 = 21.5125

Factor a perfect square on the left side:
(x + 4.25)(x + 4.25) = 21.5125

Calculate the square root of the right side: 4.638156962

Break this problem into two subproblems by setting 
(x + 4.25) equal to 4.638156962 and -4.638156962.


Subproblem 1
x + 4.25 = 4.638156962

Simplifying
x + 4.25 = 4.638156962

Reorder the terms:
4.25 + x = 4.638156962

Solving
4.25 + x = 4.638156962

Solving for variable 'x'.

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

Add '-4.25' to each side of the equation.
4.25 + -4.25 + x = 4.638156962 + -4.25

Combine like terms: 4.25 + -4.25 = 0.00
0.00 + x = 4.638156962 + -4.25
x = 4.638156962 + -4.25

Combine like terms: 4.638156962 + -4.25 = 0.388156962
x = 0.388156962

Simplifying
x = 0.388156962


Subproblem 2
x + 4.25 = -4.638156962

Simplifying
x + 4.25 = -4.638156962

Reorder the terms:
4.25 + x = -4.638156962

Solving
4.25 + x = -4.638156962

Solving for variable 'x'.

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

Add '-4.25' to each side of the equation.
4.25 + -4.25 + x = -4.638156962 + -4.25

Combine like terms: 4.25 + -4.25 = 0.00
0.00 + x = -4.638156962 + -4.25
x = -4.638156962 + -4.25

Combine like terms: -4.638156962 + -4.25 = -8.888156962
x = -8.888156962

Simplifying
x = -8.888156962


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.388156962, -8.888156962}

See similar equations:

| 4x-4=x | | 3a-15=a+15 | | 1/2X-1=-X+2 | | 0.25x+0.15(2-x)=0.03(-1) | | 10.8-0.2*3= | | 8x^2+xy+y^2=5 | | x=5/9(77-32) | | 4x+[-pi-(5+pi)]=3 | | -3.5-1.25*8= | | -3.5-1.25*R=-13.5 | | 15-3.28= | | 1.06(1.25)(8-x)=10 | | 28x^2-10x-2= | | -3.5-1.25*R=13.5 | | 1.2(1+0.5x)=-6 | | 2x+13/24=5/6-1/12x-1/3 | | 4+(1/x-1)=x/x-1 | | y=(x-4)(x+6) | | -3.5-1.25*R= | | 4+1/x-1=x/x-1 | | x+3=3*(x-3) | | 0.85*1.2= | | -3.5-1.25*6= | | -3.5-1.25*1= | | -3(3s-4)-12=-3(6s+1)-4 | | 3.5-1.25*1= | | -3(2s-5)-15=-2(6s+4)-3 | | 2x+15x=x | | 3x+15x=1 | | 6(x+6)/5=5x-3 | | 2x+2x=43 | | 11.5+0.9*c=24.1 |

Equations solver categories