x^2-3.5x-8=0

Simple and best practice solution for x^2-3.5x-8=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 x^2-3.5x-8=0 equation: 


Simplifying
x2 + -3.5x + -8 = 0

Reorder the terms:
-8 + -3.5x + x2 = 0

Solving
-8 + -3.5x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '8' to each side of the equation.
-8 + -3.5x + 8 + x2 = 0 + 8

Reorder the terms:
-8 + 8 + -3.5x + x2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -3.5x + x2 = 0 + 8
-3.5x + x2 = 0 + 8

Combine like terms: 0 + 8 = 8
-3.5x + x2 = 8

The x term is -3.5x.  Take half its coefficient (-1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
-3.5x + 3.0625 + x2 = 8 + 3.0625

Reorder the terms:
3.0625 + -3.5x + x2 = 8 + 3.0625

Combine like terms: 8 + 3.0625 = 11.0625
3.0625 + -3.5x + x2 = 11.0625

Factor a perfect square on the left side:
(x + -1.75)(x + -1.75) = 11.0625

Calculate the square root of the right side: 3.326033674

Break this problem into two subproblems by setting 
(x + -1.75) equal to 3.326033674 and -3.326033674.


Subproblem 1
x + -1.75 = 3.326033674

Simplifying
x + -1.75 = 3.326033674

Reorder the terms:
-1.75 + x = 3.326033674

Solving
-1.75 + x = 3.326033674

Solving for variable 'x'.

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

Add '1.75' to each side of the equation.
-1.75 + 1.75 + x = 3.326033674 + 1.75

Combine like terms: -1.75 + 1.75 = 0.00
0.00 + x = 3.326033674 + 1.75
x = 3.326033674 + 1.75

Combine like terms: 3.326033674 + 1.75 = 5.076033674
x = 5.076033674

Simplifying
x = 5.076033674


Subproblem 2
x + -1.75 = -3.326033674

Simplifying
x + -1.75 = -3.326033674

Reorder the terms:
-1.75 + x = -3.326033674

Solving
-1.75 + x = -3.326033674

Solving for variable 'x'.

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

Add '1.75' to each side of the equation.
-1.75 + 1.75 + x = -3.326033674 + 1.75

Combine like terms: -1.75 + 1.75 = 0.00
0.00 + x = -3.326033674 + 1.75
x = -3.326033674 + 1.75

Combine like terms: -3.326033674 + 1.75 = -1.576033674
x = -1.576033674

Simplifying
x = -1.576033674


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {5.076033674, -1.576033674}

See similar equations:

| 10m^6n+9m^5n^2+2m^4n^3=0 | | 5y^2-8y-2=0 | | 7y^2-16y-20=0 | | x+5-8yi=31 | | 7X+1-3X=0 | | (5x-20)=((12)+(4x-10))*.5 | | -6X+30=0 | | 9y+1=-6y-4 | | x+(x+1)+(x+1)=36 | | 8k+33=1 | | 4p+6=2p-2 | | (3x-8)*(3x-5)= | | 7n-5=5n+7 | | f(-5)=-5*-5+4 | | 7y+9=12y+9 | | .33(5x+9)=10 | | -1.2g=6.9 | | 0.85x+.05(10-x)=.10(133) | | g(x)=-5x+6 | | 4x-8y=-56 | | 2.5+2=-3.5 | | f=kg | | (m-2)3=-1 | | x^3-3xy^2+2a^3=0 | | 6(4n+4)=8(3+2n) | | 65+n=67 | | 54-7=12 | | 4x+9=-12 | | x+(x+6)=50 | | 8x+2y-3y-9x= | | .8x+2y-3y-9x= | | 1-64x^2= |

Equations solver categories