x^5-25x^3+55x=0

Simple and best practice solution for x^5-25x^3+55x=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^5-25x^3+55x=0 equation:


Simplifying
x5 + -25x3 + 55x = 0

Reorder the terms:
55x + -25x3 + x5 = 0

Solving
55x + -25x3 + x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(55 + -25x2 + x4) = 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 '(55 + -25x2 + x4)' equal to zero and attempt to solve: Simplifying 55 + -25x2 + x4 = 0 Solving 55 + -25x2 + x4 = 0 Begin completing the square. Move the constant term to the right: Add '-55' to each side of the equation. 55 + -25x2 + -55 + x4 = 0 + -55 Reorder the terms: 55 + -55 + -25x2 + x4 = 0 + -55 Combine like terms: 55 + -55 = 0 0 + -25x2 + x4 = 0 + -55 -25x2 + x4 = 0 + -55 Combine like terms: 0 + -55 = -55 -25x2 + x4 = -55 The x term is -25x2. Take half its coefficient (-12.5). Square it (156.25) and add it to both sides. Add '156.25' to each side of the equation. -25x2 + 156.25 + x4 = -55 + 156.25 Reorder the terms: 156.25 + -25x2 + x4 = -55 + 156.25 Combine like terms: -55 + 156.25 = 101.25 156.25 + -25x2 + x4 = 101.25 Factor a perfect square on the left side: (x2 + -12.5)(x2 + -12.5) = 101.25 Calculate the square root of the right side: 10.062305899 Break this problem into two subproblems by setting (x2 + -12.5) equal to 10.062305899 and -10.062305899.

Subproblem 1

x2 + -12.5 = 10.062305899 Simplifying x2 + -12.5 = 10.062305899 Reorder the terms: -12.5 + x2 = 10.062305899 Solving -12.5 + x2 = 10.062305899 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12.5' to each side of the equation. -12.5 + 12.5 + x2 = 10.062305899 + 12.5 Combine like terms: -12.5 + 12.5 = 0.0 0.0 + x2 = 10.062305899 + 12.5 x2 = 10.062305899 + 12.5 Combine like terms: 10.062305899 + 12.5 = 22.562305899 x2 = 22.562305899 Simplifying x2 = 22.562305899 Take the square root of each side: x = {-4.749979568, 4.749979568}

Subproblem 2

x2 + -12.5 = -10.062305899 Simplifying x2 + -12.5 = -10.062305899 Reorder the terms: -12.5 + x2 = -10.062305899 Solving -12.5 + x2 = -10.062305899 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12.5' to each side of the equation. -12.5 + 12.5 + x2 = -10.062305899 + 12.5 Combine like terms: -12.5 + 12.5 = 0.0 0.0 + x2 = -10.062305899 + 12.5 x2 = -10.062305899 + 12.5 Combine like terms: -10.062305899 + 12.5 = 2.437694101 x2 = 2.437694101 Simplifying x2 = 2.437694101 Take the square root of each side: x = {-1.56131166, 1.56131166}

Solution

The solution to the problem is based on the solutions from the subproblems. x = {-4.749979568, 4.749979568, -1.56131166, 1.56131166}

Solution

x = {0, -4.749979568, 4.749979568, -1.56131166, 1.56131166}

See similar equations:

| 16y+8=120 | | m^4+18m^2+18=0 | | 3a+7=5(a-3) | | 4(4.4w+7)/5=4 | | 196800-x=5x/100 | | -10(s+3)=33 | | 2(4s+4)=96 | | 1.25+5= | | 4/5a^2 | | 21=3+35x-16x^2 | | 54/y=6 | | x=(x+3)(5x-1)-2x | | (2u+3)(u-4)+4u(u-2)= | | ln*(x-12)=30-2x | | 3x+5=2x-z | | (5-3i)3=a+ib | | -x-11=8 | | x^7+130=2 | | 5(c-3)=3(x+8)+1 | | -2x+4=1 | | (2u+3)(u-4)+4u^2(u-2)= | | 49z^2=169 | | 6x^2-2x+27=0 | | (5x+7y)(3x+2y)= | | 28x^2=20x | | -10(x-4+9)+6x+3(x-8)=-41+25 | | 4x-2(7-x)-5x=-18 | | Log(11x+9)=3+log(x+3) | | 3y=3x+2 | | -0.25+y=0.4 | | -2(x+3)-3(2-x)=-19+23 | | -(4x-10)+2(3x+4)= |

Equations solver categories