4x^2+25x^2-10x+1=x^4+2x^2+1

Simple and best practice solution for 4x^2+25x^2-10x+1=x^4+2x^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 4x^2+25x^2-10x+1=x^4+2x^2+1 equation: 


Simplifying
4x2 + 25x2 + -10x + 1 = x4 + 2x2 + 1

Reorder the terms:
1 + -10x + 4x2 + 25x2 = x4 + 2x2 + 1

Combine like terms: 4x2 + 25x2 = 29x2
1 + -10x + 29x2 = x4 + 2x2 + 1

Reorder the terms:
1 + -10x + 29x2 = 1 + 2x2 + x4

Add '-1' to each side of the equation.
1 + -10x + -1 + 29x2 = 1 + 2x2 + -1 + x4

Reorder the terms:
1 + -1 + -10x + 29x2 = 1 + 2x2 + -1 + x4

Combine like terms: 1 + -1 = 0
0 + -10x + 29x2 = 1 + 2x2 + -1 + x4
-10x + 29x2 = 1 + 2x2 + -1 + x4

Reorder the terms:
-10x + 29x2 = 1 + -1 + 2x2 + x4

Combine like terms: 1 + -1 = 0
-10x + 29x2 = 0 + 2x2 + x4
-10x + 29x2 = 2x2 + x4

Solving
-10x + 29x2 = 2x2 + x4

Solving for variable 'x'.

Combine like terms: 29x2 + -2x2 = 27x2
-10x + 27x2 + -1x4 = 2x2 + x4 + -2x2 + -1x4

Reorder the terms:
-10x + 27x2 + -1x4 = 2x2 + -2x2 + x4 + -1x4

Combine like terms: 2x2 + -2x2 = 0
-10x + 27x2 + -1x4 = 0 + x4 + -1x4
-10x + 27x2 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-10x + 27x2 + -1x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-10 + 27x + -1x3) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-10 + 27x + -1x3)' equal to zero and attempt to solve:

Simplifying
-10 + 27x + -1x3 = 0

Solving
-10 + 27x + -1x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

See similar equations:

| m/2.3=9.4 | | -30-5m=-8m-4(2m+2) | | 6(2+3)=5x+15 | | 68+28-x=73 | | 4.2/6 | | 9e^2-7f+3e^2-3f= | | 6x^3y^5/2x^-2y^3 | | 28+7p=-7(8+3p) | | (9x-7)(5x+7)=0 | | -4(3v+7)=20+4v | | 4-7(1-8v)=34 | | 3s-6=4s | | 36/y=1.2/2 | | 3.14=24miles | | 3.14=10m | | 120x+2000=10000 | | r+(2r)+(2r+5)=55 | | b-37=4(3-2b)+2b | | x^6+y^6-x^2y^4+x^4y^2=0 | | 3.14=2yd | | L=1638/7(9) | | y/9=13 | | 9x^2+48x=36 | | 4/3x-1=7 | | 3.14=6ft | | a*2+3a+-9=0 | | 8a-3b+3c+5a-b+3c= | | 3.14=8cm | | 3x-2/6=12 | | 10x^2=16 | | -3z-(-z-2)= | | 3.14=rin |

Equations solver categories