100x^4=-400x^3+3200x^2

Simple and best practice solution for 100x^4=-400x^3+3200x^2 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 100x^4=-400x^3+3200x^2 equation: 


Simplifying
100x4 = -400x3 + 3200x2

Reorder the terms:
100x4 = 3200x2 + -400x3

Solving
100x4 = 3200x2 + -400x3

Solving for variable 'x'.

Reorder the terms:
-3200x2 + 400x3 + 100x4 = 3200x2 + -400x3 + -3200x2 + 400x3

Reorder the terms:
-3200x2 + 400x3 + 100x4 = 3200x2 + -3200x2 + -400x3 + 400x3

Combine like terms: 3200x2 + -3200x2 = 0
-3200x2 + 400x3 + 100x4 = 0 + -400x3 + 400x3
-3200x2 + 400x3 + 100x4 = -400x3 + 400x3

Combine like terms: -400x3 + 400x3 = 0
-3200x2 + 400x3 + 100x4 = 0

Factor out the Greatest Common Factor (GCF), '100x2'.
100x2(-32 + 4x + x2) = 0

Factor a trinomial.
100x2((-8 + -1x)(4 + -1x)) = 0

Ignore the factor 100.

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 '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 3
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
Solution
x = {0, -8, 4}

See similar equations:

| 3a+3=19 | | -1/3 | | (3x-31)(x+59)= | | 10d+4=12 | | 3/7 | | 257-28= | | 36-7n=8(-n+4) | | (8x+19)(9x+90)= | | 3m=2(2m-1)+6 | | 6n-(-6)=3 | | 11+3v=29 | | 5n+5=n^2 | | 3x-2x+6=x-4 | | 9(-1)-x=-17 | | x^2+14+42=0 | | -16(t^2-2t-35)=0 | | -8(4b+1)+(33b-1)=0 | | 54-x=2x-9 | | 12j-185=5j-10 | | 8x+252=3x+172 | | 4+35x=20x+7 | | 564*10= | | 3x-2=7x-66 | | -4+4x=12+14x | | 24=(4+28c) | | 2x+112=6x+156 | | 59-3x=14-8x | | -3x-6=10-x | | 24=(4+28) | | 3x+48=8x+3 | | 6+2w=4 | | 6+10=-34-5x |

Equations solver categories