x^2+6x-50=4x+30

Simple and best practice solution for x^2+6x-50=4x+30 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+6x-50=4x+30 equation: 


Simplifying
x2 + 6x + -50 = 4x + 30

Reorder the terms:
-50 + 6x + x2 = 4x + 30

Reorder the terms:
-50 + 6x + x2 = 30 + 4x

Solving
-50 + 6x + x2 = 30 + 4x

Solving for variable 'x'.

Reorder the terms:
-50 + -30 + 6x + -4x + x2 = 30 + 4x + -30 + -4x

Combine like terms: -50 + -30 = -80
-80 + 6x + -4x + x2 = 30 + 4x + -30 + -4x

Combine like terms: 6x + -4x = 2x
-80 + 2x + x2 = 30 + 4x + -30 + -4x

Reorder the terms:
-80 + 2x + x2 = 30 + -30 + 4x + -4x

Combine like terms: 30 + -30 = 0
-80 + 2x + x2 = 0 + 4x + -4x
-80 + 2x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-80 + 2x + x2 = 0

Factor a trinomial.
(-10 + -1x)(8 + -1x) = 0


Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve:

Simplifying
-10 + -1x = 0

Solving
-10 + -1x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 0 + 10
-1x = 0 + 10

Combine like terms: 0 + 10 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 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 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-10, 8}

See similar equations:

| 8n=60 | | -8w=-40 | | 4q+5=2q+19 | | 100*x=17 | | 10-2x/3=30/5 | | 3(x+5)=-2(x+10) | | 6x-4y=2 | | x(x-5)+4(x-5)=0 | | 6z+c=240 | | 2(x-8)+1=6x | | 3y+2(y-4)=y+8 | | 6(y-9)=b-9 | | 112x^2-4=0 | | 5q+5= | | 100=5x+2y+0.1z | | 22+4x=11+26x | | 7-3x+5=-2x-3+12x+2 | | (x^2+x-3x-3)(x-(2-3i))= | | -3x^2-162=0 | | 9n^2+18n=-79 | | 1/3(x+3)+1/6(x-6)=x+3 | | 46=10-2b | | 7(4+x)=-14 | | 2x-15=6x | | 3(x-4)+6=5(x-1)-1 | | p=6 | | 3p/3-3p/9=30/15 | | 5(y+2y)+2=12 | | -2x-2(7x+16)=48 | | 2p=s-t | | t/3+(-2)=-5 | | 3x+5=-5 |

Equations solver categories