f(x+1)=3x(x+1)+1

Simple and best practice solution for f(x+1)=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 f(x+1)=3x(x+1)+1 equation: 


Simplifying
f(x + 1) = 3x(x + 1) + 1

Reorder the terms:
f(1 + x) = 3x(x + 1) + 1
(1 * f + x * f) = 3x(x + 1) + 1
(1f + fx) = 3x(x + 1) + 1

Reorder the terms:
1f + fx = 3x(1 + x) + 1
1f + fx = (1 * 3x + x * 3x) + 1
1f + fx = (3x + 3x2) + 1

Reorder the terms:
1f + fx = 1 + 3x + 3x2

Solving
1f + fx = 1 + 3x + 3x2

Solving for variable 'f'.

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

Reorder the terms:
-1 + 1f + fx + -3x + -3x2 = 1 + 3x + 3x2 + -1 + -3x + -3x2

Reorder the terms:
-1 + 1f + fx + -3x + -3x2 = 1 + -1 + 3x + -3x + 3x2 + -3x2

Combine like terms: 1 + -1 = 0
-1 + 1f + fx + -3x + -3x2 = 0 + 3x + -3x + 3x2 + -3x2
-1 + 1f + fx + -3x + -3x2 = 3x + -3x + 3x2 + -3x2

Combine like terms: 3x + -3x = 0
-1 + 1f + fx + -3x + -3x2 = 0 + 3x2 + -3x2
-1 + 1f + fx + -3x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-1 + 1f + fx + -3x + -3x2 = 0

The solution to this equation could not be determined.

See similar equations:

| 2ab/abc | | 6sin^2x-cosx-1=0 | | 6sin^2x-cosx-1=9 | | (x)/7=3/11 | | 2/7=-22/3X= | | 2/7=-22/3X | | f(-4)for(x)=x^2-3x+9 | | 17-3x+2=x-15+6z | | 1.70(x-5.40)=7.40(x-1.80) | | 3x^2-3x=9 | | x^2-18x-13=x^2-19x+11 | | -2(3-x)=40 | | 4x-12=8x-10 | | 24=3(p-4) | | x-13=8+11 | | 37-33=4+x | | 2tan^2x+1=3tanx | | 0,18c-3,54=0,19c-2,89 | | 0,8y+1,4=0,4-2,6 | | 3b-17=8b+18 | | cos(2x)+sin^2(x)+sin(x)=0.25 | | 2p+3s=78 | | -17=2/3x-23 | | 6y=4x-1 | | 4y+3=28 | | -4x=-17+x | | -1/4y-1=-15.25 | | 4y+9=2y+1 | | 18=20-3x | | 20y^2+43y-57=0 | | 7c+6-6c=-28-(-1) | | x-1/x=7/9 |

Equations solver categories