x^3+3x^2-15x=0

Simple and best practice solution for x^3+3x^2-15x=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 x^3+3x^2-15x=0 equation:


Simplifying
x3 + 3x2 + -15x = 0

Reorder the terms:
-15x + 3x2 + x3 = 0

Solving
-15x + 3x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-15 + 3x + x2) = 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 '(-15 + 3x + x2)' equal to zero and attempt to solve: Simplifying -15 + 3x + x2 = 0 Solving -15 + 3x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '15' to each side of the equation. -15 + 3x + 15 + x2 = 0 + 15 Reorder the terms: -15 + 15 + 3x + x2 = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 3x + x2 = 0 + 15 3x + x2 = 0 + 15 Combine like terms: 0 + 15 = 15 3x + x2 = 15 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 = 15 + 2.25 Reorder the terms: 2.25 + 3x + x2 = 15 + 2.25 Combine like terms: 15 + 2.25 = 17.25 2.25 + 3x + x2 = 17.25 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = 17.25 Calculate the square root of the right side: 4.153311931 Break this problem into two subproblems by setting (x + 1.5) equal to 4.153311931 and -4.153311931.

Subproblem 1

x + 1.5 = 4.153311931 Simplifying x + 1.5 = 4.153311931 Reorder the terms: 1.5 + x = 4.153311931 Solving 1.5 + x = 4.153311931 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + x = 4.153311931 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = 4.153311931 + -1.5 x = 4.153311931 + -1.5 Combine like terms: 4.153311931 + -1.5 = 2.653311931 x = 2.653311931 Simplifying x = 2.653311931

Subproblem 2

x + 1.5 = -4.153311931 Simplifying x + 1.5 = -4.153311931 Reorder the terms: 1.5 + x = -4.153311931 Solving 1.5 + x = -4.153311931 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + x = -4.153311931 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = -4.153311931 + -1.5 x = -4.153311931 + -1.5 Combine like terms: -4.153311931 + -1.5 = -5.653311931 x = -5.653311931 Simplifying x = -5.653311931

Solution

The solution to the problem is based on the solutions from the subproblems. x = {2.653311931, -5.653311931}

Solution

x = {0, 2.653311931, -5.653311931}

See similar equations:

| -24+x^2=0 | | -9(x+9)+4=-77 | | 18000=p(1+.12*2) | | 21y=4(5x-6) | | 7(4s+1)=63 | | 70-16x+4x^2=0 | | 2b=20-28 | | 5c+15=15+4c-2 | | 5+x-4=14 | | 7x+4-2x=5x+4 | | (e^5x+3)-8=0 | | n-45+25-9= | | 2x+6x=-5+7 | | y=.0388ln(x)+.0366 | | 4(x-3)=2x-7 | | (9h-7j+8k)-9(-9h+2j-2k)= | | 5x+4y+7x-4y= | | 7x-5=3x+5+4x | | 2-x=5-3x | | -5+7=6x+2x | | f(X)=2X+6X-3 | | 0.15x=6.75 | | -3x-5-6=-5-6x+x | | (u-3)*9=72 | | 6x-2x=7-5 | | 20+3(x+6)=53 | | x-18=-14-16 | | 0.15x=5.85 | | 5x^2-3x-15= | | 2x-5=3*7x | | x+3y-11=0 | | 2(x-8)+7=5(a+2)-3x-19 |

Equations solver categories