36x^3-12x^2-240x=0

Simple and best practice solution for 36x^3-12x^2-240x=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 36x^3-12x^2-240x=0 equation:


Simplifying
36x3 + -12x2 + -240x = 0

Reorder the terms:
-240x + -12x2 + 36x3 = 0

Solving
-240x + -12x2 + 36x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12x'.
12x(-20 + -1x + 3x2) = 0

Ignore the factor 12.

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 '(-20 + -1x + 3x2)' equal to zero and attempt to solve: Simplifying -20 + -1x + 3x2 = 0 Solving -20 + -1x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -6.666666667 + -0.3333333333x + x2 = 0 Move the constant term to the right: Add '6.666666667' to each side of the equation. -6.666666667 + -0.3333333333x + 6.666666667 + x2 = 0 + 6.666666667 Reorder the terms: -6.666666667 + 6.666666667 + -0.3333333333x + x2 = 0 + 6.666666667 Combine like terms: -6.666666667 + 6.666666667 = 0.000000000 0.000000000 + -0.3333333333x + x2 = 0 + 6.666666667 -0.3333333333x + x2 = 0 + 6.666666667 Combine like terms: 0 + 6.666666667 = 6.666666667 -0.3333333333x + x2 = 6.666666667 The x term is -0.3333333333x. Take half its coefficient (-0.1666666667). Square it (0.02777777779) and add it to both sides. Add '0.02777777779' to each side of the equation. -0.3333333333x + 0.02777777779 + x2 = 6.666666667 + 0.02777777779 Reorder the terms: 0.02777777779 + -0.3333333333x + x2 = 6.666666667 + 0.02777777779 Combine like terms: 6.666666667 + 0.02777777779 = 6.69444444479 0.02777777779 + -0.3333333333x + x2 = 6.69444444479 Factor a perfect square on the left side: (x + -0.1666666667)(x + -0.1666666667) = 6.69444444479 Calculate the square root of the right side: 2.587362449 Break this problem into two subproblems by setting (x + -0.1666666667) equal to 2.587362449 and -2.587362449.

Subproblem 1

x + -0.1666666667 = 2.587362449 Simplifying x + -0.1666666667 = 2.587362449 Reorder the terms: -0.1666666667 + x = 2.587362449 Solving -0.1666666667 + x = 2.587362449 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1666666667' to each side of the equation. -0.1666666667 + 0.1666666667 + x = 2.587362449 + 0.1666666667 Combine like terms: -0.1666666667 + 0.1666666667 = 0.0000000000 0.0000000000 + x = 2.587362449 + 0.1666666667 x = 2.587362449 + 0.1666666667 Combine like terms: 2.587362449 + 0.1666666667 = 2.7540291157 x = 2.7540291157 Simplifying x = 2.7540291157

Subproblem 2

x + -0.1666666667 = -2.587362449 Simplifying x + -0.1666666667 = -2.587362449 Reorder the terms: -0.1666666667 + x = -2.587362449 Solving -0.1666666667 + x = -2.587362449 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1666666667' to each side of the equation. -0.1666666667 + 0.1666666667 + x = -2.587362449 + 0.1666666667 Combine like terms: -0.1666666667 + 0.1666666667 = 0.0000000000 0.0000000000 + x = -2.587362449 + 0.1666666667 x = -2.587362449 + 0.1666666667 Combine like terms: -2.587362449 + 0.1666666667 = -2.4206957823 x = -2.4206957823 Simplifying x = -2.4206957823

Solution

The solution to the problem is based on the solutions from the subproblems. x = {2.7540291157, -2.4206957823}

Solution

x = {0, 2.7540291157, -2.4206957823}

See similar equations:

| 11-8x=24-15x | | 11(t-4)+4t=5(3t+2)-9 | | 12p=72 | | 4m-2n^2=2m-72 | | 15q=45 | | 2s=28 | | 7x-6=6x+12 | | -10.6-m=18 | | 20x+1=18x+12x+3 | | 7m=15+4m | | 8(x-3)=-3x+53 | | (m+4)(m+1)= | | 8x+5=13x-5 | | 2(5x-12)=18x | | 7x+7=8x-4 | | 2x^4-3x^3-21x^2+24x+40=0 | | 7y-7x=28 | | 2x^2-8x=22 | | 7x-3=4x+7x+6 | | y+5+2=11 | | -131-9x=1x+21 | | 185-6x=30x+21 | | 185-6x=30x+211 | | 126-4x=4x | | 24=4+5y | | 106-6x=30x+21 | | 89-4x=8+17 | | 7r+7=14-7 | | 8(x+4)+7(x+4)=5x-5 | | 7x+4=10-20 | | 7(2-(3+4x))-2x=-9+2(1-15x) | | -8=-(x-4) |

Equations solver categories