40+3x=180-x^2-2x

Simple and best practice solution for 40+3x=180-x^2-2x 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 40+3x=180-x^2-2x equation: 


Simplifying
40 + 3x = 180 + -1x2 + -2x

Reorder the terms:
40 + 3x = 180 + -2x + -1x2

Solving
40 + 3x = 180 + -2x + -1x2

Solving for variable 'x'.

Reorder the terms:
40 + -180 + 3x + 2x + x2 = 180 + -2x + -1x2 + -180 + 2x + x2

Combine like terms: 40 + -180 = -140
-140 + 3x + 2x + x2 = 180 + -2x + -1x2 + -180 + 2x + x2

Combine like terms: 3x + 2x = 5x
-140 + 5x + x2 = 180 + -2x + -1x2 + -180 + 2x + x2

Reorder the terms:
-140 + 5x + x2 = 180 + -180 + -2x + 2x + -1x2 + x2

Combine like terms: 180 + -180 = 0
-140 + 5x + x2 = 0 + -2x + 2x + -1x2 + x2
-140 + 5x + x2 = -2x + 2x + -1x2 + x2

Combine like terms: -2x + 2x = 0
-140 + 5x + x2 = 0 + -1x2 + x2
-140 + 5x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-140 + 5x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '140' to each side of the equation.
-140 + 5x + 140 + x2 = 0 + 140

Reorder the terms:
-140 + 140 + 5x + x2 = 0 + 140

Combine like terms: -140 + 140 = 0
0 + 5x + x2 = 0 + 140
5x + x2 = 0 + 140

Combine like terms: 0 + 140 = 140
5x + x2 = 140

The x term is 5x.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5x + 6.25 + x2 = 140 + 6.25

Reorder the terms:
6.25 + 5x + x2 = 140 + 6.25

Combine like terms: 140 + 6.25 = 146.25
6.25 + 5x + x2 = 146.25

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = 146.25

Calculate the square root of the right side: 12.093386622

Break this problem into two subproblems by setting 
(x + 2.5) equal to 12.093386622 and -12.093386622.


Subproblem 1
x + 2.5 = 12.093386622

Simplifying
x + 2.5 = 12.093386622

Reorder the terms:
2.5 + x = 12.093386622

Solving
2.5 + x = 12.093386622

Solving for variable 'x'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + x = 12.093386622 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = 12.093386622 + -2.5
x = 12.093386622 + -2.5

Combine like terms: 12.093386622 + -2.5 = 9.593386622
x = 9.593386622

Simplifying
x = 9.593386622


Subproblem 2
x + 2.5 = -12.093386622

Simplifying
x + 2.5 = -12.093386622

Reorder the terms:
2.5 + x = -12.093386622

Solving
2.5 + x = -12.093386622

Solving for variable 'x'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + x = -12.093386622 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = -12.093386622 + -2.5
x = -12.093386622 + -2.5

Combine like terms: -12.093386622 + -2.5 = -14.593386622
x = -14.593386622

Simplifying
x = -14.593386622


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {9.593386622, -14.593386622}

See similar equations:

| M+6=12+15 | | 42.72=.99x+27 | | 6(2x+2)+12=50 | | 14n-32=22 | | 5z=26 | | 2x-14+3(x+1)=-4 | | 98-2x=3x+22 | | 5x=2x^2+5x-50 | | 23+4(x-3)-x=11 | | 3x^2-9y=4 | | -6x+21+8x+21=6 | | 30-6(x+3)+2x=8 | | 42.72=15.99x+27 | | n(x)+3=72(76)x(y)+z | | x=1-1+1-1+1-1+1*1 | | 10.5+h=22.5 | | (n-5)*10=80 | | 60-5x=12-7x | | 0.05s+.1(6000-s)=375 | | 2(4x-2)-5x=-18 | | n-5*10=80 | | -29-10(15)=-18(15)+91 | | 5(2x+1)+4(3x-2)= | | 324*5x*y=4x | | 0.05+600-s=375 | | -2p+7=3x-(5p+1) | | 25=7m+4 | | -9+w=-32 | | 42.72=.99+27x | | -29-10n=-18n+91 | | 2=3(x-5)+1-2x | | 3b+17=29 |

Equations solver categories