x^2+10x+46=-5x+2

Simple and best practice solution for x^2+10x+46=-5x+2 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+10x+46=-5x+2 equation: 


Simplifying
x2 + 10x + 46 = -5x + 2

Reorder the terms:
46 + 10x + x2 = -5x + 2

Reorder the terms:
46 + 10x + x2 = 2 + -5x

Solving
46 + 10x + x2 = 2 + -5x

Solving for variable 'x'.

Reorder the terms:
46 + -2 + 10x + 5x + x2 = 2 + -5x + -2 + 5x

Combine like terms: 46 + -2 = 44
44 + 10x + 5x + x2 = 2 + -5x + -2 + 5x

Combine like terms: 10x + 5x = 15x
44 + 15x + x2 = 2 + -5x + -2 + 5x

Reorder the terms:
44 + 15x + x2 = 2 + -2 + -5x + 5x

Combine like terms: 2 + -2 = 0
44 + 15x + x2 = 0 + -5x + 5x
44 + 15x + x2 = -5x + 5x

Combine like terms: -5x + 5x = 0
44 + 15x + x2 = 0

Factor a trinomial.
(11 + x)(4 + x) = 0


Subproblem 1
Set the factor '(11 + x)' equal to zero and attempt to solve:

Simplifying
11 + x = 0

Solving
11 + x = 0

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

Add '-11' to each side of the equation.
11 + -11 + x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + x = 0 + -11
x = 0 + -11

Combine like terms: 0 + -11 = -11
x = -11

Simplifying
x = -11

Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {-11, -4}

See similar equations:

| (X+2)(2X-1)=0 | | -16t^2-10t-30=0 | | -4x^2+7x+4=0 | | 4x^2+64x+256=0 | | n+9.5=92.4 | | 6y+6-(7y-1)= | | 2(3x)=7x-3 | | 48+4y= | | n-0.45=8.85 | | 5x+13=-62-10 | | 4[2t-(3-y)+5]=-(2+7t) | | n+9.4=83 | | 2x^2-13x-279=0 | | x*100=21.4 | | (5y+27)(5y+9)=0 | | 6.7+n=25.6 | | 18x+12y=72 | | 7+z=97 | | 9x+11=8x+18 | | 5x+2=3x-18 | | 3(2x+9)= | | 2(3x+1)=7x-1 | | 20+12g=16g | | 12x=4(x-4) | | 9x+27=90 | | 32-14x=102 | | t+28=13t-8 | | 2(x-8)+3=7 | | 8d+12d=450+8d | | 8x+3=-3x-8 | | 7x/2= | | -3(x+2)+4(3x-8)=2(4x+7) |

Equations solver categories