2x^3-3x^2-36x=0

Simple and best practice solution for 2x^3-3x^2-36x=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^3-3x^2-36x=0 equation:


Simplifying
2x3 + -3x2 + -36x = 0

Reorder the terms:
-36x + -3x2 + 2x3 = 0

Solving
-36x + -3x2 + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-36 + -3x + 2x2) = 0

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 '(-36 + -3x + 2x2)' equal to zero and attempt to solve: Simplifying -36 + -3x + 2x2 = 0 Solving -36 + -3x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -18 + -1.5x + x2 = 0 Move the constant term to the right: Add '18' to each side of the equation. -18 + -1.5x + 18 + x2 = 0 + 18 Reorder the terms: -18 + 18 + -1.5x + x2 = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1.5x + x2 = 0 + 18 -1.5x + x2 = 0 + 18 Combine like terms: 0 + 18 = 18 -1.5x + x2 = 18 The x term is -1.5x. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5x + 0.5625 + x2 = 18 + 0.5625 Reorder the terms: 0.5625 + -1.5x + x2 = 18 + 0.5625 Combine like terms: 18 + 0.5625 = 18.5625 0.5625 + -1.5x + x2 = 18.5625 Factor a perfect square on the left side: (x + -0.75)(x + -0.75) = 18.5625 Calculate the square root of the right side: 4.308421985 Break this problem into two subproblems by setting (x + -0.75) equal to 4.308421985 and -4.308421985.

Subproblem 1

x + -0.75 = 4.308421985 Simplifying x + -0.75 = 4.308421985 Reorder the terms: -0.75 + x = 4.308421985 Solving -0.75 + x = 4.308421985 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + x = 4.308421985 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + x = 4.308421985 + 0.75 x = 4.308421985 + 0.75 Combine like terms: 4.308421985 + 0.75 = 5.058421985 x = 5.058421985 Simplifying x = 5.058421985

Subproblem 2

x + -0.75 = -4.308421985 Simplifying x + -0.75 = -4.308421985 Reorder the terms: -0.75 + x = -4.308421985 Solving -0.75 + x = -4.308421985 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + x = -4.308421985 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + x = -4.308421985 + 0.75 x = -4.308421985 + 0.75 Combine like terms: -4.308421985 + 0.75 = -3.558421985 x = -3.558421985 Simplifying x = -3.558421985

Solution

The solution to the problem is based on the solutions from the subproblems. x = {5.058421985, -3.558421985}

Solution

x = {0, 5.058421985, -3.558421985}

See similar equations:

| 817+3=-5 | | 5x^2-27xy+10y^2=0 | | 5x+275=x(6+15+9) | | 9+n=11 | | x=9-5y | | 12.4-b=8.5 | | -16=-9-w | | x-679=134 | | 15y^3-36y^2-27y= | | Z+0.02=0.94 | | 1-4(-5z-5)=2(5z+8)-7 | | 15r=75 | | 5x^2-40x-100=0 | | 4(9+-5y)+3y=10 | | 2(z+5)=20-3z | | -5p+3p-2p-9p+7p-3=p | | -3x+-1=-1(2x-5) | | 0.8(y+15)=-1.6(y-1.5) | | 0.4b-0.25b=3 | | P=4l | | 6(b+6)=84 | | 5(1x+10)=-5 | | 96=12n | | 10n=8(n+3) | | 70x^3+135x^2+45x= | | 4x-9y-9=0 | | 3-2+/5=-1(-1) | | -3(8+4x)=-108 | | -6=(3x+7)2 | | 110=5e | | 7(3+6x)=63 | | 7-4y=3y |

Equations solver categories