2x^3+5x^2-6x=0

Simple and best practice solution for 2x^3+5x^2-6x=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+5x^2-6x=0 equation:


Simplifying
2x3 + 5x2 + -6x = 0

Reorder the terms:
-6x + 5x2 + 2x3 = 0

Solving
-6x + 5x2 + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-6 + 5x + 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 '(-6 + 5x + 2x2)' equal to zero and attempt to solve: Simplifying -6 + 5x + 2x2 = 0 Solving -6 + 5x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -3 + 2.5x + x2 = 0 Move the constant term to the right: Add '3' to each side of the equation. -3 + 2.5x + 3 + x2 = 0 + 3 Reorder the terms: -3 + 3 + 2.5x + x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2.5x + x2 = 0 + 3 2.5x + x2 = 0 + 3 Combine like terms: 0 + 3 = 3 2.5x + x2 = 3 The x term is 2.5x. Take half its coefficient (1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. 2.5x + 1.5625 + x2 = 3 + 1.5625 Reorder the terms: 1.5625 + 2.5x + x2 = 3 + 1.5625 Combine like terms: 3 + 1.5625 = 4.5625 1.5625 + 2.5x + x2 = 4.5625 Factor a perfect square on the left side: (x + 1.25)(x + 1.25) = 4.5625 Calculate the square root of the right side: 2.136000936 Break this problem into two subproblems by setting (x + 1.25) equal to 2.136000936 and -2.136000936.

Subproblem 1

x + 1.25 = 2.136000936 Simplifying x + 1.25 = 2.136000936 Reorder the terms: 1.25 + x = 2.136000936 Solving 1.25 + x = 2.136000936 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25' to each side of the equation. 1.25 + -1.25 + x = 2.136000936 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + x = 2.136000936 + -1.25 x = 2.136000936 + -1.25 Combine like terms: 2.136000936 + -1.25 = 0.886000936 x = 0.886000936 Simplifying x = 0.886000936

Subproblem 2

x + 1.25 = -2.136000936 Simplifying x + 1.25 = -2.136000936 Reorder the terms: 1.25 + x = -2.136000936 Solving 1.25 + x = -2.136000936 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25' to each side of the equation. 1.25 + -1.25 + x = -2.136000936 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + x = -2.136000936 + -1.25 x = -2.136000936 + -1.25 Combine like terms: -2.136000936 + -1.25 = -3.386000936 x = -3.386000936 Simplifying x = -3.386000936

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.886000936, -3.386000936}

Solution

x = {0, 0.886000936, -3.386000936}

See similar equations:

| x^2+100i=0 | | (q-9)(5q-12)=0 | | 21,75/3.2 | | 24+2x-x^2=24 | | x=y+-4+5 | | 6(d+7)+5= | | f(x)=3/5x-12 | | x=y-4+5 | | (-1*15+2x*15)=11 | | 4z/7-3=-1 | | 4b-88=10-2b | | 12-3p=6 | | 2(2y-6)= | | Z/10-5=10 | | 3x^3-3x-50=0 | | -2,31-(-1(1/2) | | -9(v+4)+4v+6=6v+6 | | (1/10)-0,9 | | 4x^2-13x-2=0 | | 2x+28=140 | | 3y=6y-18 | | 7=2+25t-5t^2 | | S*6-41=43 | | 7+4ln(x)=2 | | 6,236-(278/1000) | | (2/7)x=12 | | 3X-14=-46-9x | | 5-3c=2c-20 | | 10(b-4)+8(b+6)=0 | | x(x+1)=2(8) | | 34-14=-469x | | (-41/100)-(0,47) |

Equations solver categories