x^2-7x-8=3.5

Simple and best practice solution for x^2-7x-8=3.5 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^2-7x-8=3.5 equation: 


Simplifying
x2 + -7x + -8 = 3.5

Reorder the terms:
-8 + -7x + x2 = 3.5

Solving
-8 + -7x + x2 = 3.5

Solving for variable 'x'.

Reorder the terms:
-8 + -3.5 + -7x + x2 = 3.5 + -3.5

Combine like terms: -8 + -3.5 = -11.5
-11.5 + -7x + x2 = 3.5 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
-11.5 + -7x + x2 = 0.0

Begin completing the square.

Move the constant term to the right:

Add '11.5' to each side of the equation.
-11.5 + -7x + 11.5 + x2 = 0.0 + 11.5

Reorder the terms:
-11.5 + 11.5 + -7x + x2 = 0.0 + 11.5

Combine like terms: -11.5 + 11.5 = 0.0
0.0 + -7x + x2 = 0.0 + 11.5
-7x + x2 = 0.0 + 11.5

Combine like terms: 0.0 + 11.5 = 11.5
-7x + x2 = 11.5

The x term is -7x.  Take half its coefficient (-3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
-7x + 12.25 + x2 = 11.5 + 12.25

Reorder the terms:
12.25 + -7x + x2 = 11.5 + 12.25

Combine like terms: 11.5 + 12.25 = 23.75
12.25 + -7x + x2 = 23.75

Factor a perfect square on the left side:
(x + -3.5)(x + -3.5) = 23.75

Calculate the square root of the right side: 4.873397172

Break this problem into two subproblems by setting 
(x + -3.5) equal to 4.873397172 and -4.873397172.


Subproblem 1
x + -3.5 = 4.873397172

Simplifying
x + -3.5 = 4.873397172

Reorder the terms:
-3.5 + x = 4.873397172

Solving
-3.5 + x = 4.873397172

Solving for variable 'x'.

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

Add '3.5' to each side of the equation.
-3.5 + 3.5 + x = 4.873397172 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + x = 4.873397172 + 3.5
x = 4.873397172 + 3.5

Combine like terms: 4.873397172 + 3.5 = 8.373397172
x = 8.373397172

Simplifying
x = 8.373397172


Subproblem 2
x + -3.5 = -4.873397172

Simplifying
x + -3.5 = -4.873397172

Reorder the terms:
-3.5 + x = -4.873397172

Solving
-3.5 + x = -4.873397172

Solving for variable 'x'.

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

Add '3.5' to each side of the equation.
-3.5 + 3.5 + x = -4.873397172 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + x = -4.873397172 + 3.5
x = -4.873397172 + 3.5

Combine like terms: -4.873397172 + 3.5 = -1.373397172
x = -1.373397172

Simplifying
x = -1.373397172


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {8.373397172, -1.373397172}

See similar equations:

| 130p+250=150p+125 | | 29+29=90 | | 7(29-1)=30 | | 9t=1/3 | | (29)=180 | | 4.3+2x=-14.5 | | 4[x-2]=4x+10 | | 29=180 | | 6c+11=2c+59# | | 2x-2=5y+1 | | 12g=3/5 | | (-.75x+6)-(-2.5x-1.9)= | | 11x+20=5x+2 | | 7x+1x=7+9x | | X=-(1/8)y^2 | | (2v-3)(1+v)=0 | | 12a=(11b-14)12 | | X^2+Y^2-24X+4Y-63=0 | | 5x+33=(6x-10)+11 | | f(x)=x^2-2x+17 | | 5q-96=q | | X^2+Y^2-24X+4Y-64=0 | | 3a-44=a | | (z+40)+z=180 | | z+40=z | | 7z+40=z | | 6x+9x-44=88-7x | | 15/x=6/16 | | 35ln(x+4)=22 | | 13/36-9/35 | | k/25=5/12 | | 28/5=m/2 |

Equations solver categories