2x^3+5x^2-4x+12x=0

Simple and best practice solution for 2x^3+5x^2-4x+12x=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^2-4x+12x=0 equation: 


Simplifying
2x3 + 5x2 + -4x + 12x = 0

Reorder the terms:
-4x + 12x + 5x2 + 2x3 = 0

Combine like terms: -4x + 12x = 8x
8x + 5x2 + 2x3 = 0

Solving
8x + 5x2 + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(8 + 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 '(8 + 5x + 2x2)' equal to zero and attempt to solve:

Simplifying
8 + 5x + 2x2 = 0

Solving
8 + 5x + 2x2 = 0

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
4 + 2.5x + x2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + 2.5x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + 2.5x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 2.5x + x2 = 0 + -4
2.5x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
2.5x + x2 = -4

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 = -4 + 1.5625

Reorder the terms:
1.5625 + 2.5x + x2 = -4 + 1.5625

Combine like terms: -4 + 1.5625 = -2.4375
1.5625 + 2.5x + x2 = -2.4375

Factor a perfect square on the left side:
(x + 1.25)(x + 1.25) = -2.4375

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:

| 2=0.24 | | 2x+1-7x+1=2x+1+7x | | .5x-0.6=5.3 | | 10*x-2*(30-x)=216 | | -3x^6y^4-27x^4y^3-12xy= | | 2.7x-(-(x-9)-(2x+1))=27 | | p(x)=x^2-x-5 | | 9u^2-6u+1=0 | | (5z-3)(z+4)-(5z-3)(z-3)= | | 2log(3x-1)=7 | | u^2-16u-225=0 | | -2(y+5)=2y+8 | | 4+5xy-10y-2x= | | -3(2y+1)=-y | | 7h-8=56 | | 4(2x+1)=7x | | x+.18x=395 | | -35x^2-11x+6= | | 7d+5=91 | | 2x+7.2=111111111110 | | 4a-6b-3a-5b= | | -t+5=3t+8 | | x+24=x+(30-5) | | -12t=196 | | -4t+20=48 | | -5m+2=47 | | 2t+8=10 | | 11x-19y=56 | | P+3=8 | | 16x-24x^3=0 | | t^2-t-156=0 | | 6x^2-4x-7=0 |

Equations solver categories