2x^3+6x^2+20x=0

Simple and best practice solution for 2x^3+6x^2+20x=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^3+6x^2+20x=0 equation: 


Simplifying
2x3 + 6x2 + 20x = 0

Reorder the terms:
20x + 6x2 + 2x3 = 0

Solving
20x + 6x2 + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(10 + 3x + x2) = 0

Ignore the factor 2.

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 '(10 + 3x + x2)' equal to zero and attempt to solve:

Simplifying
10 + 3x + x2 = 0

Solving
10 + 3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + 3x + -10 + x2 = 0 + -10

Reorder the terms:
10 + -10 + 3x + x2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 3x + x2 = 0 + -10
3x + x2 = 0 + -10

Combine like terms: 0 + -10 = -10
3x + x2 = -10

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 = -10 + 2.25

Reorder the terms:
2.25 + 3x + x2 = -10 + 2.25

Combine like terms: -10 + 2.25 = -7.75
2.25 + 3x + x2 = -7.75

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = -7.75

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:

| -10.4x^2+132x+332=y | | (9x^2+7x-4)-(9x^2+3)=21 | | 3x-5/3=17 | | t^2+19t+19=0 | | -8+2p=6 | | 2x^3+6x^2-20=0 | | 14-(5-3x)=6x+1 | | 4-6=y-3 | | 1-7=y-8 | | 3-2(x-4)=-4x-1 | | X-4/-3=6-x | | -3y+8x=18 | | 1.025v+2.4458=7.583 | | n^2-5-36= | | 42x^3=0 | | -6=3n+12 | | 3=6x+2(-4x) | | 1.025+2.4458=7.583 | | 4=7x+2(-8x) | | 2h(6h-5)=-1 | | 9x+10x=15 | | 1n^2-7n+12= | | 5x-7=5x+13 | | 75=-3(-5n-6) | | 62=4w+1 | | 8x=16²-32/2x-1 | | 2a-3(a-5)=6a+1 | | x+-20=45 | | 3x+1.0=2x | | X/2(10) | | 6x-1+5x=3 | | 8(x-50)^1/3=-10 |

Equations solver categories