x^4-8x^3+25x^2=0

Simple and best practice solution for x^4-8x^3+25x^2=0 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^4-8x^3+25x^2=0 equation: 


Simplifying
x4 + -8x3 + 25x2 = 0

Reorder the terms:
25x2 + -8x3 + x4 = 0

Solving
25x2 + -8x3 + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(25 + -8x + x2) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(25 + -8x + x2)' equal to zero and attempt to solve:

Simplifying
25 + -8x + x2 = 0

Solving
25 + -8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-25' to each side of the equation.
25 + -8x + -25 + x2 = 0 + -25

Reorder the terms:
25 + -25 + -8x + x2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -8x + x2 = 0 + -25
-8x + x2 = 0 + -25

Combine like terms: 0 + -25 = -25
-8x + x2 = -25

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = -25 + 16

Reorder the terms:
16 + -8x + x2 = -25 + 16

Combine like terms: -25 + 16 = -9
16 + -8x + x2 = -9

Factor a perfect square on the left side:
(x + -4)(x + -4) = -9

Can't calculate square root of the right side.

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:

| 5x^2-25x=-2x^2-9x-9 | | (3x-1)+(7x+1)=90 | | 10-7x=84-21x | | 5y+4x=-20 | | -2y+3=-1 | | (2x)=(3x-30) | | 4x^3=4x(x+20) | | x+20=x+10 | | 6.1x-0.7=3.6x+1.3 | | 8y^2-648=0 | | y=(x+5)(8x^2+10x-3) | | y=(x+2)(8x^2+10x-3) | | 8m+13=13-8n | | y=-3+10x+8x^2 | | y=8x^2+10x-3 | | x(x-7)(8+x)=0 | | y=(8x^2+10x-3) | | 16X^4-625=0 | | 18x-7=3+16x | | -5y+11=-2(4y+2) | | 7m-4=6m+9 | | -28x^2+27x+10=0 | | x+7-2=5+x | | -5x-7x=-81 | | 4x-2x=-16 | | 1+4y=13+y | | .66x+8=.33x-2 | | 2(x-5)-(3x-2)=4(2x-3)-5 | | 2x+6+5x=90 | | 1+4y+13+y+26+y=180 | | 4y-10+y+21=6y+20-4y | | 41y=8(5y-3) |

Equations solver categories