(x^4-10x^3+25x^2)(25x^2-9)=0

Simple and best practice solution for (x^4-10x^3+25x^2)(25x^2-9)=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^4-10x^3+25x^2)(25x^2-9)=0 equation: 


Simplifying
(x4 + -10x3 + 25x2)(25x2 + -9) = 0

Reorder the terms:
(25x2 + -10x3 + x4)(25x2 + -9) = 0

Reorder the terms:
(25x2 + -10x3 + x4)(-9 + 25x2) = 0

Multiply (25x2 + -10x3 + x4) * (-9 + 25x2)
(25x2 * (-9 + 25x2) + -10x3 * (-9 + 25x2) + x4(-9 + 25x2)) = 0
((-9 * 25x2 + 25x2 * 25x2) + -10x3 * (-9 + 25x2) + x4(-9 + 25x2)) = 0
((-225x2 + 625x4) + -10x3 * (-9 + 25x2) + x4(-9 + 25x2)) = 0
(-225x2 + 625x4 + (-9 * -10x3 + 25x2 * -10x3) + x4(-9 + 25x2)) = 0
(-225x2 + 625x4 + (90x3 + -250x5) + x4(-9 + 25x2)) = 0
(-225x2 + 625x4 + 90x3 + -250x5 + (-9 * x4 + 25x2 * x4)) = 0
(-225x2 + 625x4 + 90x3 + -250x5 + (-9x4 + 25x6)) = 0

Reorder the terms:
(-225x2 + 90x3 + 625x4 + -9x4 + -250x5 + 25x6) = 0

Combine like terms: 625x4 + -9x4 = 616x4
(-225x2 + 90x3 + 616x4 + -250x5 + 25x6) = 0

Solving
-225x2 + 90x3 + 616x4 + -250x5 + 25x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-225 + 90x + 616x2 + -250x3 + 25x4) = 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 '(-225 + 90x + 616x2 + -250x3 + 25x4)' equal to zero and attempt to solve:

Simplifying
-225 + 90x + 616x2 + -250x3 + 25x4 = 0

Solving
-225 + 90x + 616x2 + -250x3 + 25x4 = 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:

| (6r+20)=(6r-10) | | a(2a+4m)-3a(3a-4m)=0 | | 34=15+5b | | 3w+3x+13y+4w+9x-8y= | | 26=4n-16 | | 6r+20=5r | | ln(x)=-3.03 | | 24=5+5c | | x+4+2x+6=31 | | solvex^2+12x=-14 | | 8x-5w+2y+3w+5x+7y= | | 3x-4x=22-3x | | 3x-5(x-2)=-3+4x-11 | | 5x(2x-4)= | | 5(x-5)=32-2x | | 12x^2-100=40x | | 2x-5=61-9x | | -2x-x=11-(x+3) | | 4w-4x-y+4w+17x-7y= | | 8x-2y+10w-6y-2w+5x= | | 5x^4+16x^2-144=0 | | 5w+5y+10x+3x-13y+3w= | | 5x^3+2=0 | | 3m+5n=1 | | 27=4m-15 | | 0.91x+0.95(18-x)=16.74 | | (2.4*2.4)/9.6? | | 3w+8x+15y+5w+5x-7y= | | 4d-1/2=3 | | y=x/a-b | | .5(x+4)=3(x-1) | | D=3s+1 |

Equations solver categories