3x^4-16x^3+24x^2=0

Simple and best practice solution for 3x^4-16x^3+24x^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 3x^4-16x^3+24x^2=0 equation: 


Simplifying
3x4 + -16x3 + 24x2 = 0

Reorder the terms:
24x2 + -16x3 + 3x4 = 0

Solving
24x2 + -16x3 + 3x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(24 + -16x + 3x2) = 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 '(24 + -16x + 3x2)' equal to zero and attempt to solve:

Simplifying
24 + -16x + 3x2 = 0

Solving
24 + -16x + 3x2 = 0

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
8 + -5.333333333x + x2 = 0

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + -5.333333333x + -8 + x2 = 0 + -8

Reorder the terms:
8 + -8 + -5.333333333x + x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5.333333333x + x2 = 0 + -8
-5.333333333x + x2 = 0 + -8

Combine like terms: 0 + -8 = -8
-5.333333333x + x2 = -8

The x term is -5.333333333x.  Take half its coefficient (-2.666666667).
Square it (7.111111113) and add it to both sides.

Add '7.111111113' to each side of the equation.
-5.333333333x + 7.111111113 + x2 = -8 + 7.111111113

Reorder the terms:
7.111111113 + -5.333333333x + x2 = -8 + 7.111111113

Combine like terms: -8 + 7.111111113 = -0.888888887
7.111111113 + -5.333333333x + x2 = -0.888888887

Factor a perfect square on the left side:
(x + -2.666666667)(x + -2.666666667) = -0.888888887

Can't calculate square root of the right side.

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:

| Y=xy+15 | | 2a+3x=2 | | 6(x+2)-5=0 | | 35x^2+26x-16= | | 90=n-18 | | 2n=n+18 | | 2X-3Y=10Y-6XFORY | | 79(x-3)=5x-13 | | -z^2+18+7z=0 | | 18-6x=3y | | z^2=18+z | | 16x-1=3(x+5) | | 5x^2+10x+20-7=0 | | 550-330+280-140= | | 24x^2+81x+27= | | -2(49-3)=30 | | 5(3x-5)+2(18-4x)-2(3x+4)=-6 | | ln(5x)=(lnx^2) | | -4-4w=5-5x | | H-j=k | | H-j=kforj | | 4w-4=6w-6 | | -1x=-4 | | 3y^3-11y^2=3y^2+24y | | 10x-1=(2x+1)(2x+1) | | ln(7x)=2ln(6x) | | 2u-4=-4u+20 | | -18+(-8)= | | .5-3d=2 | | .5d+3=2 | | 7t+4=14t-5 | | 3r=14+10r |

Equations solver categories