8x-22+(2x+x^2)=140

Simple and best practice solution for 8x-22+(2x+x^2)=140 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 8x-22+(2x+x^2)=140 equation:


Simplifying
8x + -22 + (2x + x2) = 140

Remove parenthesis around (2x + x2)
8x + -22 + 2x + x2 = 140

Reorder the terms:
-22 + 8x + 2x + x2 = 140

Combine like terms: 8x + 2x = 10x
-22 + 10x + x2 = 140

Solving
-22 + 10x + x2 = 140

Solving for variable 'x'.

Reorder the terms:
-22 + -140 + 10x + x2 = 140 + -140

Combine like terms: -22 + -140 = -162
-162 + 10x + x2 = 140 + -140

Combine like terms: 140 + -140 = 0
-162 + 10x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '162' to each side of the equation.
-162 + 10x + 162 + x2 = 0 + 162

Reorder the terms:
-162 + 162 + 10x + x2 = 0 + 162

Combine like terms: -162 + 162 = 0
0 + 10x + x2 = 0 + 162
10x + x2 = 0 + 162

Combine like terms: 0 + 162 = 162
10x + x2 = 162

The x term is 10x.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10x + 25 + x2 = 162 + 25

Reorder the terms:
25 + 10x + x2 = 162 + 25

Combine like terms: 162 + 25 = 187
25 + 10x + x2 = 187

Factor a perfect square on the left side:
(x + 5)(x + 5) = 187

Calculate the square root of the right side: 13.674794331

Break this problem into two subproblems by setting 
(x + 5) equal to 13.674794331 and -13.674794331.

Subproblem 1

x + 5 = 13.674794331 Simplifying x + 5 = 13.674794331 Reorder the terms: 5 + x = 13.674794331 Solving 5 + x = 13.674794331 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 13.674794331 + -5 Combine like terms: 5 + -5 = 0 0 + x = 13.674794331 + -5 x = 13.674794331 + -5 Combine like terms: 13.674794331 + -5 = 8.674794331 x = 8.674794331 Simplifying x = 8.674794331

Subproblem 2

x + 5 = -13.674794331 Simplifying x + 5 = -13.674794331 Reorder the terms: 5 + x = -13.674794331 Solving 5 + x = -13.674794331 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = -13.674794331 + -5 Combine like terms: 5 + -5 = 0 0 + x = -13.674794331 + -5 x = -13.674794331 + -5 Combine like terms: -13.674794331 + -5 = -18.674794331 x = -18.674794331 Simplifying x = -18.674794331

Solution

The solution to the problem is based on the solutions from the subproblems. x = {8.674794331, -18.674794331}

See similar equations:

| 1-3x=9+7x | | 3d+6=o | | 3x-x+6= | | 4x-5+2(x-3)=12x+7 | | 2x+4y=270 | | -8(n-3)+5(n+1)= | | 5d-3-(d+5)= | | 2a(a+10)44=180 | | 4(x-5)=-3(x-5) | | 6x-10=3x+6-4 | | 3(2x-5)=2(4-3x) | | 18=2x-9y | | 2x+50=2 | | -(9x-3)= | | 1762=598+24.25x | | 3+9n=21+3n | | p(x)=[x-(3+2i)][x-(3-2i)](x+1)(x-2) | | 2n(n+4)=n^2+9 | | 0.8x+3=0.2x | | 7x+9-4x-6= | | 6y-2+9y+3= | | 21+7h=6h-18 | | 9t-t+8= | | 12+5(9-7z)=6-18z | | 5z=42-2z | | 6y+7-4y+4= | | 8z=6z-18 | | 19z-4(5z-8)=38 | | 10x-4=45x+10 | | -11y-y= | | -11y-y= | | 13z-(7z-5)=11 |

Equations solver categories