x^2-2x+8=3x+2

Simple and best practice solution for x^2-2x+8=3x+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^2-2x+8=3x+2 equation: 


Simplifying
x2 + -2x + 8 = 3x + 2

Reorder the terms:
8 + -2x + x2 = 3x + 2

Reorder the terms:
8 + -2x + x2 = 2 + 3x

Solving
8 + -2x + x2 = 2 + 3x

Solving for variable 'x'.

Reorder the terms:
8 + -2 + -2x + -3x + x2 = 2 + 3x + -2 + -3x

Combine like terms: 8 + -2 = 6
6 + -2x + -3x + x2 = 2 + 3x + -2 + -3x

Combine like terms: -2x + -3x = -5x
6 + -5x + x2 = 2 + 3x + -2 + -3x

Reorder the terms:
6 + -5x + x2 = 2 + -2 + 3x + -3x

Combine like terms: 2 + -2 = 0
6 + -5x + x2 = 0 + 3x + -3x
6 + -5x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -5x + x2 = 0

Factor a trinomial.
(2 + -1x)(3 + -1x) = 0


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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 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 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 2
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
Solution
x = {2, 3}

See similar equations:

| 8x-7=5x+17 | | x^2+9x+9=3x+1 | | -8x-(8x+2)=16+2x | | y=-X^2+3X+7 | | 3x+10(y-x)-x= | | Z=y^3-3xy+x | | x^2+1=2x+1 | | x^2+4x+2=2 | | e^5x-3=600 | | 4/3x-15=85 | | e^5x=600 | | e^5x-3=0 | | x^2+10x+13=4x+4 | | 23x+15Y=157 | | x^2-5x+15=x+7 | | x^2-3x+6=x+2 | | -2x^2=162 | | 2x^2-23x-221=0 | | 2(2x-6)=4(3+x) | | -5y+3x=-25 | | x^2+5x=2x+4 | | 4(4p+3)=-30+2p | | -2x^2=25 | | x^2+5x+7=x+3 | | c=2.79w+15.21 | | 5m-45=5 | | 10(x+3)=2(x+51) | | r+27=18 | | x^2+6=5x+2 | | 6x-2=88-9x | | y=-1/2(-8)+3 | | 15x-(30+8x)=16-(4x-20) |

Equations solver categories