15x^4+35x^3-100x^2=0

Simple and best practice solution for 15x^4+35x^3-100x^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 15x^4+35x^3-100x^2=0 equation:


Simplifying
15x4 + 35x3 + -100x2 = 0

Reorder the terms:
-100x2 + 35x3 + 15x4 = 0

Solving
-100x2 + 35x3 + 15x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x2'.
5x2(-20 + 7x + 3x2) = 0

Factor a trinomial.
5x2((-4 + -1x)(5 + -3x)) = 0

Ignore the factor 5.

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 '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4

Subproblem 3

Set the factor '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 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 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667

Solution

x = {0, -4, 1.666666667}

See similar equations:

| x+x-v+v=w | | 7c^4(4c^6+d^4+d^2)= | | 27/45-10/45 | | 3y^2+5y=0 | | x^2-6x+x-2=96 | | 17x+-12=114+-3x | | 5x^2/(x-2)^2(x+2)^2 | | (m)/2-1=-3 | | 153-6x=9-8x | | 2Iny=Ine^2-3In | | 5x^2-(5/4(x^2+4x+4)+5/4(x^2-4x+4)) | | 136.27+23.50w=253.77 | | 8x-4*1=8 | | 8*1-4y=8 | | 2+5x=7+3x | | 5/4(x^2+4x+4)+5/4(x^2-4x+4) | | 2v+w=w | | 3x-2*1=6 | | 3*1-2y=6 | | v+x=wsuared | | 4*1+y=17 | | -5x+8*1=8 | | o=-3x^2+x-4 | | -5*1+8y=8 | | 21+28m=42+21m | | 3y+7=12y-8 | | 7-2n=8n | | 5p-10=-3+6p | | 3+6x=10+2x | | 6z-19=-12+5z | | 9(v+2)-3v=2(3v+1)-11 | | -5+5/5-3 |

Equations solver categories