12705=x^2+5x+55

Simple and best practice solution for 12705=x^2+5x+55 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 12705=x^2+5x+55 equation: 


Simplifying
12705 = x2 + 5x + 55

Reorder the terms:
12705 = 55 + 5x + x2

Solving
12705 = 55 + 5x + x2

Solving for variable 'x'.

Combine like terms: 12705 + -55 = 12650
12650 + -5x + -1x2 = 55 + 5x + x2 + -55 + -5x + -1x2

Reorder the terms:
12650 + -5x + -1x2 = 55 + -55 + 5x + -5x + x2 + -1x2

Combine like terms: 55 + -55 = 0
12650 + -5x + -1x2 = 0 + 5x + -5x + x2 + -1x2
12650 + -5x + -1x2 = 5x + -5x + x2 + -1x2

Combine like terms: 5x + -5x = 0
12650 + -5x + -1x2 = 0 + x2 + -1x2
12650 + -5x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
12650 + -5x + -1x2 = 0

Factor a trinomial.
(110 + -1x)(115 + x) = 0


Subproblem 1
Set the factor '(110 + -1x)' equal to zero and attempt to solve:

Simplifying
110 + -1x = 0

Solving
110 + -1x = 0

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

Add '-110' to each side of the equation.
110 + -110 + -1x = 0 + -110

Combine like terms: 110 + -110 = 0
0 + -1x = 0 + -110
-1x = 0 + -110

Combine like terms: 0 + -110 = -110
-1x = -110

Divide each side by '-1'.
x = 110

Simplifying
x = 110

Subproblem 2
Set the factor '(115 + x)' equal to zero and attempt to solve:

Simplifying
115 + x = 0

Solving
115 + x = 0

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

Add '-115' to each side of the equation.
115 + -115 + x = 0 + -115

Combine like terms: 115 + -115 = 0
0 + x = 0 + -115
x = 0 + -115

Combine like terms: 0 + -115 = -115
x = -115

Simplifying
x = -115
Solution
x = {110, -115}

See similar equations:

| 141-6x=6x+9 | | (x-4)(3Y)=x+Y+5 | | 97-2x=5x+6 | | 4q=11q-49 | | t+10+43=2t+5+36 | | (x-4)+(3y)=x+y+5 | | 2x^2+4x+4=4x^2-8x+4 | | 7+7x=67+x | | (x-4)+(3x)=5+x | | 3x-10=(x-4)+2 | | 9+8x=58+x | | 3x-1=13x-31 | | 2y-3+5y=y+5 | | 5x-2=14x-56 | | 3c=2c+5 | | 5x+35=13x-37 | | (x-4)(3x)=5+x | | 17b-24=10b+4 | | 3m=-128 | | 5m-10=7m | | 6x-20=40 | | -8=6+h | | 2w+2=w+10 | | 4t-2=28 | | 238-6x=39x+18 | | 4x^2-10x+2=0 | | 3x+34=5x+10 | | v+20=2v | | 12x+7=10+21 | | 8-8x=128-36x | | 9x-6=93 | | 2+12x=57+x |

Equations solver categories