16x^3-6x=4x^2

Simple and best practice solution for 16x^3-6x=4x^2 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 16x^3-6x=4x^2 equation:


Simplifying
16x3 + -6x = 4x2

Reorder the terms:
-6x + 16x3 = 4x2

Solving
-6x + 16x3 = 4x2

Solving for variable 'x'.

Reorder the terms:
-6x + -4x2 + 16x3 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-6x + -4x2 + 16x3 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-3 + -2x + 8x2) = 0

Factor a trinomial.
2x((-1 + -2x)(3 + -4x)) = 0

Ignore the factor 2.

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 '(-1 + -2x)' equal to zero and attempt to solve: Simplifying -1 + -2x = 0 Solving -1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 0 + 1 -2x = 0 + 1 Combine like terms: 0 + 1 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5

Subproblem 3

Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75

Solution

x = {0, -0.5, 0.75}

See similar equations:

| 3x-3=2y-4 | | P^2-p-42= | | 4+(5(7-x)/9)=-1 | | -2y=2x-1 | | 11x+y=21 | | 4x-8=x+13 | | (h+h)+4=332 | | 8(3-4p)=280 | | 3b+2= | | 3y^2-10y+12= | | 5/8=10/x | | 3(x+2)=8(x-1)+16 | | y^2-13y+12= | | 5(t-4)+3t=4(2t+4)-8 | | 10y^2+3y-4=0 | | 5x-3y=14fory | | 3/10=x/100 | | 4x^2+192=-56x | | -2(5s-5)-10=-2(9s+4)-2 | | 8y-3=14y+15 | | X+10/5+4/5x | | 8x+21=7x-6 | | 8y-3=14+15 | | 16x^2-32=0 | | (4+2x)2=2+-2x | | h/3+9=13 | | 48(2x-1)=8(x+4)+3x | | 4(5+2v)=84 | | 10x^2-5x-25=0 | | m(m+5)=-4 | | 1/2(7-3(6+1)) | | 9x-(5x+11)=25 |

Equations solver categories