x^2-5x-16=2(1-x)

Simple and best practice solution for x^2-5x-16=2(1-x) 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-16=2(1-x) equation: 


Simplifying
x2 + -5x + -16 = 2(1 + -1x)

Reorder the terms:
-16 + -5x + x2 = 2(1 + -1x)
-16 + -5x + x2 = (1 * 2 + -1x * 2)
-16 + -5x + x2 = (2 + -2x)

Solving
-16 + -5x + x2 = 2 + -2x

Solving for variable 'x'.

Reorder the terms:
-16 + -2 + -5x + 2x + x2 = 2 + -2x + -2 + 2x

Combine like terms: -16 + -2 = -18
-18 + -5x + 2x + x2 = 2 + -2x + -2 + 2x

Combine like terms: -5x + 2x = -3x
-18 + -3x + x2 = 2 + -2x + -2 + 2x

Reorder the terms:
-18 + -3x + x2 = 2 + -2 + -2x + 2x

Combine like terms: 2 + -2 = 0
-18 + -3x + x2 = 0 + -2x + 2x
-18 + -3x + x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
-18 + -3x + x2 = 0

Factor a trinomial.
(-3 + -1x)(6 + -1x) = 0


Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-3, 6}

See similar equations:

| -4(2k-8)=18-6k | | -8(1+4r)=-8r+40 | | 5(1-4k)+7k=-5k-35 | | -3(-2)+6y=-12 | | -7x+(-10)=21 | | -35-k=5(6k+4)+7 | | 13+3c=8 | | -6(0)+10y=-30 | | 6+4n=-6+4(3+8n) | | h+-3+14= | | -18+8n=-1-3(7-3n) | | 9b^2-b+6=0 | | -7(6-r)=21 | | 3(1-6x)=3x-39 | | 378=2x+x | | -3(6+8m)=-37-5m | | 2x+18=4x+8 | | -3(6+8m)=-24+b | | 3+3=h+3 | | 4x-7(-3)=17 | | 2(8+8r)=-5r+37 | | 8(7b-3)=-24+b | | 6(4n+6)=4n+16 | | -4(v+8)=-22-6v | | -6x+3(7)=-27 | | -3(4)-y=-9 | | 3(c+4)-2=2(2x+5)-x | | km=my-mx | | 5x-28=2x-5 | | 4u^2-2u+8=0 | | x+35=3x+17 | | 5x+(2)=32 |

Equations solver categories