2x^4-6x^3+9x^2=0

Simple and best practice solution for 2x^4-6x^3+9x^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 2x^4-6x^3+9x^2=0 equation: 


Simplifying
2x4 + -6x3 + 9x2 = 0

Reorder the terms:
9x2 + -6x3 + 2x4 = 0

Solving
9x2 + -6x3 + 2x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(9 + -6x + 2x2) = 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 '(9 + -6x + 2x2)' equal to zero and attempt to solve:

Simplifying
9 + -6x + 2x2 = 0

Solving
9 + -6x + 2x2 = 0

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

Divide each side by '2'.
4.5 + -3x + x2 = 0

Move the constant term to the right:

Add '-4.5' to each side of the equation.
4.5 + -3x + -4.5 + x2 = 0 + -4.5

Reorder the terms:
4.5 + -4.5 + -3x + x2 = 0 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + -3x + x2 = 0 + -4.5
-3x + x2 = 0 + -4.5

Combine like terms: 0 + -4.5 = -4.5
-3x + x2 = -4.5

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = -4.5 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -4.5 + 2.25

Combine like terms: -4.5 + 2.25 = -2.25
2.25 + -3x + x2 = -2.25

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -2.25

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:

| 2.7X=38.7+X | | C(x)=3x^2-1200x+130500 | | 2x^2-12x-80= | | 9w-16.3=5.3 | | 54+2z=6+5(z-3) | | 7x-4x=36 | | 224=-16t^2+8t+448 | | -15.3=-7.5k+55.2 | | 6a=48 | | 0.06(y-7)+0.12y=0.02y-0.9 | | 2.55X=60+X | | 5b+12=4b-6 | | [-80]= | | 3(5x-3)=3x+39 | | 2x^2+18x+40= | | 8x+24-4x-1x-1= | | -1-x=x-23 | | 2.3(x+1.4)=-9.66 | | 10=-2x+3x+10 | | x^2+8x-33=0 | | 5x-5=0 | | 5-10x=200-45x | | 95-6x=30x+19 | | -5y-8=7y+16 | | 14y=3(4y+3) | | Y=9x^2-8 | | (x-17.7)+19.6=27.8 | | -8x^4+24x^3+16x^2= | | 9-8x=69-29x | | 168-4x=23x+15 | | 160-4x=23x+16 | | 3p^2-4p-1=0 |

Equations solver categories