x^4+(2a-b)x^3+(2b-1)x^2+2x+b^2=1

Simple and best practice solution for x^4+(2a-b)x^3+(2b-1)x^2+2x+b^2=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^4+(2a-b)x^3+(2b-1)x^2+2x+b^2=1 equation: 


Simplifying
x4 + (2a + -1b) * x3 + (2b + -1) * x2 + 2x + b2 = 1

Reorder the terms for easier multiplication:
x4 + x3(2a + -1b) + (2b + -1) * x2 + 2x + b2 = 1
x4 + (2a * x3 + -1b * x3) + (2b + -1) * x2 + 2x + b2 = 1
x4 + (2ax3 + -1bx3) + (2b + -1) * x2 + 2x + b2 = 1

Reorder the terms:
x4 + 2ax3 + -1bx3 + (-1 + 2b) * x2 + 2x + b2 = 1

Reorder the terms for easier multiplication:
x4 + 2ax3 + -1bx3 + x2(-1 + 2b) + 2x + b2 = 1
x4 + 2ax3 + -1bx3 + (-1 * x2 + 2b * x2) + 2x + b2 = 1

Reorder the terms:
x4 + 2ax3 + -1bx3 + (2bx2 + -1x2) + 2x + b2 = 1
x4 + 2ax3 + -1bx3 + (2bx2 + -1x2) + 2x + b2 = 1

Reorder the terms:
2ax3 + 2bx2 + -1bx3 + b2 + 2x + -1x2 + x4 = 1

Solving
2ax3 + 2bx2 + -1bx3 + b2 + 2x + -1x2 + x4 = 1

Solving for variable 'a'.

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

Add '-2bx2' to each side of the equation.
2ax3 + 2bx2 + -1bx3 + b2 + 2x + -1x2 + -2bx2 + x4 = 1 + -2bx2

Reorder the terms:
2ax3 + 2bx2 + -2bx2 + -1bx3 + b2 + 2x + -1x2 + x4 = 1 + -2bx2

Combine like terms: 2bx2 + -2bx2 = 0
2ax3 + 0 + -1bx3 + b2 + 2x + -1x2 + x4 = 1 + -2bx2
2ax3 + -1bx3 + b2 + 2x + -1x2 + x4 = 1 + -2bx2

Add 'bx3' to each side of the equation.
2ax3 + -1bx3 + b2 + 2x + -1x2 + bx3 + x4 = 1 + -2bx2 + bx3

Reorder the terms:
2ax3 + -1bx3 + bx3 + b2 + 2x + -1x2 + x4 = 1 + -2bx2 + bx3

Combine like terms: -1bx3 + bx3 = 0
2ax3 + 0 + b2 + 2x + -1x2 + x4 = 1 + -2bx2 + bx3
2ax3 + b2 + 2x + -1x2 + x4 = 1 + -2bx2 + bx3

Add '-1b2' to each side of the equation.
2ax3 + b2 + 2x + -1x2 + -1b2 + x4 = 1 + -2bx2 + bx3 + -1b2

Reorder the terms:
2ax3 + b2 + -1b2 + 2x + -1x2 + x4 = 1 + -2bx2 + bx3 + -1b2

Combine like terms: b2 + -1b2 = 0
2ax3 + 0 + 2x + -1x2 + x4 = 1 + -2bx2 + bx3 + -1b2
2ax3 + 2x + -1x2 + x4 = 1 + -2bx2 + bx3 + -1b2

Add '-2x' to each side of the equation.
2ax3 + 2x + -1x2 + -2x + x4 = 1 + -2bx2 + bx3 + -1b2 + -2x

Reorder the terms:
2ax3 + 2x + -2x + -1x2 + x4 = 1 + -2bx2 + bx3 + -1b2 + -2x

Combine like terms: 2x + -2x = 0
2ax3 + 0 + -1x2 + x4 = 1 + -2bx2 + bx3 + -1b2 + -2x
2ax3 + -1x2 + x4 = 1 + -2bx2 + bx3 + -1b2 + -2x

Add 'x2' to each side of the equation.
2ax3 + -1x2 + x2 + x4 = 1 + -2bx2 + bx3 + -1b2 + -2x + x2

Combine like terms: -1x2 + x2 = 0
2ax3 + 0 + x4 = 1 + -2bx2 + bx3 + -1b2 + -2x + x2
2ax3 + x4 = 1 + -2bx2 + bx3 + -1b2 + -2x + x2

Add '-1x4' to each side of the equation.
2ax3 + x4 + -1x4 = 1 + -2bx2 + bx3 + -1b2 + -2x + x2 + -1x4

Combine like terms: x4 + -1x4 = 0
2ax3 + 0 = 1 + -2bx2 + bx3 + -1b2 + -2x + x2 + -1x4
2ax3 = 1 + -2bx2 + bx3 + -1b2 + -2x + x2 + -1x4

Divide each side by '2x3'.
a = 0.5x-3 + -1bx-1 + 0.5b + -0.5b2x-3 + -1x-2 + 0.5x-1 + -0.5x

Simplifying
a = 0.5x-3 + -1bx-1 + 0.5b + -0.5b2x-3 + -1x-2 + 0.5x-1 + -0.5x

Reorder the terms:
a = 0.5b + -1bx-1 + -0.5b2x-3 + 0.5x-3 + -1x-2 + 0.5x-1 + -0.5x

See similar equations:

| 0=5x+2x | | =8y-2-3(y+4) | | f(x)=12sin^2x-3 | | 10w=2w+84 | | x+11+29= | | 4(5)=(5)+15 | | 4x2/4 | | 8x-3=5x-11 | | =3x+4y-2x | | (4x-3)+2x= | | =2(6x-1)-(x-7) | | 17-2x=3+3x | | 3sin(x)=5cos(x) | | 3x-11=o | | 7x+23=4x+11 | | =-3(2x+5)-6x | | (3x-10)x=-3 | | =5y-14+7y-20y | | 3a-8a+2a= | | sin^2x-cos^2y=sin^2y-cos^2x | | 26-2x=-88-9x | | 5x-13=3x+8 | | 2p^2-7p+14=0 | | 8w=15+5w | | 2[5z-5(2z-3)]=2z-6 | | 2P^2-9P+14=0 | | 3x-16=5x+9 | | F(x)=-16x^2+4x+3 | | 14+2(3x-2)=133 | | x*6+58=x*12-14 | | x+10+3x-30=180 | | 5(6+4)+5(7+3)= |

Equations solver categories