x^7-625x^3=0

Simple and best practice solution for x^7-625x^3=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^7-625x^3=0 equation:


Simplifying
x7 + -625x3 = 0

Reorder the terms:
-625x3 + x7 = 0

Solving
-625x3 + x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x3'.
x3(-625 + x4) = 0

Factor a difference between two squares.
x3((25 + x2)(-25 + x2)) = 0

Factor a difference between two squares.
x3((25 + x2)((5 + x)(-5 + x))) = 0

Subproblem 1

Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(25 + x2)' equal to zero and attempt to solve: Simplifying 25 + x2 = 0 Solving 25 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + x2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + x2 = 0 + -25 x2 = 0 + -25 Combine like terms: 0 + -25 = -25 x2 = -25 Simplifying x2 = -25 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5

Subproblem 4

Set the factor '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Simplifying x = 5

Solution

x = {-5, 5}

See similar equations:

| 4(0)+5y=60 | | 4a+6.7=36.3 | | z+8=-16 | | 4(5)+-5y=60 | | 4.6b=24.84 | | 4x+-5(0)=60 | | 3+.5(k+1)=6 | | 3/2589 | | 4(0)+-5y=60 | | -4(x+4)+70=28+10 | | 12+3x=36 | | -9y-9=-63 | | 4x^2+15-4=0 | | 4/5+2/3= | | 3z+5=6z-16 | | 3(5)x-5y=15 | | 8y-0.8=9y | | 6x+19=15x-52 | | 6x-6=7x-4 | | 3(0)x-5y=15 | | 3/+1/=3 | | 30=x/140,000 | | -12-4x=-5 | | 3(1y+1)=20 | | y=3/8*2.6667+46 | | 7(3)+3y=84 | | y=3/8(-2.6667)+46 | | 5+2t=9 | | 7x+3(-84)=84 | | 7(2y+1)=-33 | | 7(84)+3y=84 | | y=3/8x+46 |

Equations solver categories