x^2+5x+17=-5x+1

Simple and best practice solution for x^2+5x+17=-5x+1 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+5x+17=-5x+1 equation: 


Simplifying
x2 + 5x + 17 = -5x + 1

Reorder the terms:
17 + 5x + x2 = -5x + 1

Reorder the terms:
17 + 5x + x2 = 1 + -5x

Solving
17 + 5x + x2 = 1 + -5x

Solving for variable 'x'.

Reorder the terms:
17 + -1 + 5x + 5x + x2 = 1 + -5x + -1 + 5x

Combine like terms: 17 + -1 = 16
16 + 5x + 5x + x2 = 1 + -5x + -1 + 5x

Combine like terms: 5x + 5x = 10x
16 + 10x + x2 = 1 + -5x + -1 + 5x

Reorder the terms:
16 + 10x + x2 = 1 + -1 + -5x + 5x

Combine like terms: 1 + -1 = 0
16 + 10x + x2 = 0 + -5x + 5x
16 + 10x + x2 = -5x + 5x

Combine like terms: -5x + 5x = 0
16 + 10x + x2 = 0

Factor a trinomial.
(8 + x)(2 + x) = 0


Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

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

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

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

Simplifying
x = -8

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

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {-8, -2}

See similar equations:

| 3d-9-8b=11 | | x^2+7x-1=7 | | n^4-13n^2+36=0 | | 5g*4d= | | 11-8x=0 | | x^2+10x-27=8x-3 | | 5x-33=2x+57 | | =0.4(3d-5) | | -2y+3(-2)+5y+35=6y+2(-2)-3y+8 | | 2x+9y=4 | | 2(-2)-3+5y+6=8y-4(-2)+24 | | 3x+7y=6 | | 9(x-2)-4=14 | | -9x+3+5x=2x-3x+3+7-2 | | -x-2y+z=-6 | | 3x/7-5=4 | | 9(x-1)+3x=-9x+5 | | 2x+4y-2z=6 | | 0.42x-5=4 | | x+3y-z=12 | | 5x-y+5z=30 | | 5x-2x+6-4+14=5x-3x+8 | | 3(g-7)-2=4 | | 16=-4-4x | | -x+2y-3z=-9 | | -3t+5=26 | | 4x-2x+3-8=7x-5+4x | | 3t+5=26 | | (x^2+y^4)(x^2-y^4)=0 | | 0.67x+7=21 | | 72+36=0 | | 5x-2+8=7x-4 |

Equations solver categories