[3x-1][x+1]=20

Simple and best practice solution for [3x-1][x+1]=20 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 [3x-1][x+1]=20 equation: 


Simplifying
[3x + -1][x + 1] = 20

Reorder the terms:
[-1 + 3x][x + 1] = 20

Reorder the terms:
[-1 + 3x][1 + x] = 20

Multiply [-1 + 3x] * [1 + x]
[-1[1 + x] + 3x * [1 + x]] = 20
[[1 * -1 + x * -1] + 3x * [1 + x]] = 20
[[-1 + -1x] + 3x * [1 + x]] = 20
[-1 + -1x + [1 * 3x + x * 3x]] = 20
[-1 + -1x + [3x + 3x2]] = 20

Combine like terms: -1x + 3x = 2x
[-1 + 2x + 3x2] = 20

Solving
-1 + 2x + 3x2 = 20

Solving for variable 'x'.

Reorder the terms:
-1 + -20 + 2x + 3x2 = 20 + -20

Combine like terms: -1 + -20 = -21
-21 + 2x + 3x2 = 20 + -20

Combine like terms: 20 + -20 = 0
-21 + 2x + 3x2 = 0

Factor a trinomial.
(-3 + -1x)(7 + -3x) = 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 '(7 + -3x)' equal to zero and attempt to solve:

Simplifying
7 + -3x = 0

Solving
7 + -3x = 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 + -3x = 0 + -7

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

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

Divide each side by '-3'.
x = 2.333333333

Simplifying
x = 2.333333333
Solution
x = {-3, 2.333333333}

See similar equations:

| 3cos(7X)cos(5x)+3sin(7x)sin(5x)= | | -2y-9=8y+81 | | 3xsquare-x-7=0 | | x^3+2x=500 | | y+2=47 | | 9x-5=6x+40 | | s^3-x=2 | | 6x+121=11x-9 | | x+2x+5y=63 | | x=6+121 | | s^3-2=x | | 2(4y+3x)=114 | | y=sin((2pi)x) | | r-2=-u | | 2x-3=-2(x-1)-1 | | 7p^2+p-6= | | 2x-3=-12(x-1)-1 | | (x-y)+2=6 | | 8x+9=811 | | 3(x-2)=(6x-7)-5x | | 2(x+6-3x)=32 | | 26-6x=12-8x | | f(x)=3x-4ln(x) | | (-x+3)-(7-4x)=5x+2*(x+1) | | 2d+5=-3d | | f(x)=10x^2-5x-6 | | 4xy+7xy= | | 6-11=31 | | 5x+3x+4x+-7=9 | | 7x+5=3x+9 | | N+16=3n | | a+b-3c=0 |

Equations solver categories