x^2-5x+8=3x+1

Simple and best practice solution for x^2-5x+8=3x+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+8=3x+1 equation: 


Simplifying
x2 + -5x + 8 = 3x + 1

Reorder the terms:
8 + -5x + x2 = 3x + 1

Reorder the terms:
8 + -5x + x2 = 1 + 3x

Solving
8 + -5x + x2 = 1 + 3x

Solving for variable 'x'.

Reorder the terms:
8 + -1 + -5x + -3x + x2 = 1 + 3x + -1 + -3x

Combine like terms: 8 + -1 = 7
7 + -5x + -3x + x2 = 1 + 3x + -1 + -3x

Combine like terms: -5x + -3x = -8x
7 + -8x + x2 = 1 + 3x + -1 + -3x

Reorder the terms:
7 + -8x + x2 = 1 + -1 + 3x + -3x

Combine like terms: 1 + -1 = 0
7 + -8x + x2 = 0 + 3x + -3x
7 + -8x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
7 + -8x + x2 = 0

Factor a trinomial.
(1 + -1x)(7 + -1x) = 0


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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {1, 7}

See similar equations:

| 6x+5y-2w-8y-9w= | | x-3y=(-8) | | 7b-(3b+5)= | | 2y+6x=-2 | | 2+2*2-2+2= | | (X+3)(2x-1)=8 | | 10h-20=60 | | 0x+1=2 | | 10m-18=6 | | (7-2y)(9-6y)=0 | | 39-2x=3 | | 5(3y-5)+3y= | | 5s+33=108 | | 20x+0.5=10x+0.5 | | .50(x-11)2+12=30 | | 39a+47=320 | | adx=d(ax) | | 9-2D=5 | | 7=0.25(8x-12) | | 12=3(5d-6) | | 20-C=14 | | p^2=8 | | 0.5(4x+6)=13 | | 0=-4x+32 | | 3(x-2)-(2x+5)=2x-9 | | 48-x=20x+90 | | 2(w+7)2+32=64 | | 3x-15=7x-4 | | 5x-1=6x-19 | | (3x-1)-(2x+5)-3*(2x-1)*(x+2)=24 | | 18x+1=1-2x | | 9x^2+3xy-18y^2=0 |

Equations solver categories