2X+1-3X+5=3X(X-1)+1

Simple and best practice solution for 2X+1-3X+5=3X(X-1)+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 2X+1-3X+5=3X(X-1)+1 equation: 


Simplifying
2X + 1 + -3X + 5 = 3X(X + -1) + 1

Reorder the terms:
1 + 5 + 2X + -3X = 3X(X + -1) + 1

Combine like terms: 1 + 5 = 6
6 + 2X + -3X = 3X(X + -1) + 1

Combine like terms: 2X + -3X = -1X
6 + -1X = 3X(X + -1) + 1

Reorder the terms:
6 + -1X = 3X(-1 + X) + 1
6 + -1X = (-1 * 3X + X * 3X) + 1
6 + -1X = (-3X + 3X2) + 1

Reorder the terms:
6 + -1X = 1 + -3X + 3X2

Solving
6 + -1X = 1 + -3X + 3X2

Solving for variable 'X'.

Reorder the terms:
6 + -1 + -1X + 3X + -3X2 = 1 + -3X + 3X2 + -1 + 3X + -3X2

Combine like terms: 6 + -1 = 5
5 + -1X + 3X + -3X2 = 1 + -3X + 3X2 + -1 + 3X + -3X2

Combine like terms: -1X + 3X = 2X
5 + 2X + -3X2 = 1 + -3X + 3X2 + -1 + 3X + -3X2

Reorder the terms:
5 + 2X + -3X2 = 1 + -1 + -3X + 3X + 3X2 + -3X2

Combine like terms: 1 + -1 = 0
5 + 2X + -3X2 = 0 + -3X + 3X + 3X2 + -3X2
5 + 2X + -3X2 = -3X + 3X + 3X2 + -3X2

Combine like terms: -3X + 3X = 0
5 + 2X + -3X2 = 0 + 3X2 + -3X2
5 + 2X + -3X2 = 3X2 + -3X2

Combine like terms: 3X2 + -3X2 = 0
5 + 2X + -3X2 = 0

Factor a trinomial.
(5 + -3X)(1 + X) = 0


Subproblem 1
Set the factor '(5 + -3X)' equal to zero and attempt to solve:

Simplifying
5 + -3X = 0

Solving
5 + -3X = 0

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

Add '-5' to each side of the equation.
5 + -5 + -3X = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3X = 0 + -5
-3X = 0 + -5

Combine like terms: 0 + -5 = -5
-3X = -5

Divide each side by '-3'.
X = 1.666666667

Simplifying
X = 1.666666667

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

Simplifying
1 + X = 0

Solving
1 + X = 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 + X = 0 + -1

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

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

Simplifying
X = -1
Solution
X = {1.666666667, -1}

See similar equations:

| 2x+14+18y= | | 17=-3-5x | | 12z^2-12z+3=0 | | -5h-7=-3/4 | | d^2+20d+100= | | 18/6=x/1 | | 8(4s+5)=136 | | (60+d)-100=900 | | 24=ab^0 | | 16-2/3=2 | | h^2+3h-54= | | 2[2x+3]=18 | | (6x+24)= | | 3n-18=6n-30 | | (Y^2-6)=0 | | 9/4=27x | | 40a-64b-40= | | c-444=444 | | -3(2x-1)-(8x-5)=12-(5x-3) | | (x-3)/(4x-2)=1 | | 318=b+200 | | 318=381-a | | 2/9=2/3x | | C+d=10 | | 2(2l+6)=56 | | 7/11y=3x-4 | | 15n^2-4n-3=0 | | 3.2x=3.2x | | 3x+6=16-8x | | p(x)=x^4+10x^3+24x^2-10x-25 | | 5(n+2)=11 | | 2(x)+2(x-5)= |

Equations solver categories