ax^3+bx^2+dx+c=0

Simple and best practice solution for ax^3+bx^2+dx+c=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 ax^3+bx^2+dx+c=0 equation:


Simplifying
ax3 + bx2 + dx + c = 0

Reorder the terms:
ax3 + bx2 + c + dx = 0

Solving
ax3 + bx2 + c + dx = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-1bx2' to each side of the equation.
ax3 + bx2 + c + -1bx2 + dx = 0 + -1bx2

Reorder the terms:
ax3 + bx2 + -1bx2 + c + dx = 0 + -1bx2

Combine like terms: bx2 + -1bx2 = 0
ax3 + 0 + c + dx = 0 + -1bx2
ax3 + c + dx = 0 + -1bx2
Remove the zero:
ax3 + c + dx = -1bx2

Add '-1c' to each side of the equation.
ax3 + c + -1c + dx = -1bx2 + -1c

Combine like terms: c + -1c = 0
ax3 + 0 + dx = -1bx2 + -1c
ax3 + dx = -1bx2 + -1c

Add '-1dx' to each side of the equation.
ax3 + dx + -1dx = -1bx2 + -1c + -1dx

Combine like terms: dx + -1dx = 0
ax3 + 0 = -1bx2 + -1c + -1dx
ax3 = -1bx2 + -1c + -1dx

Divide each side by 'x3'.
a = -1bx-1 + -1cx-3 + -1dx-2

Simplifying
a = -1bx-1 + -1cx-3 + -1dx-2

See similar equations:

| x^2+2=5x | | 2w-6w=8 | | 17-5m=20-3m | | d^3+4d^2-5d-20=0 | | 2x+3x=3.6 | | -3x^2=4x+9 | | 3x+-1=10+2x | | 3(x-2.1)=2x-6.9 | | 2(4x-9)=(x-4) | | 3w-6=18 | | 2x+7=-2x-29 | | 6N-156=600 | | 4x+12=x-4 | | 12x-2=6x+2 | | .15m+20p+.20m+15p=c | | 3x+4=4x+8 | | C=.15m+20p | | 5t(2)-2=6t-9 | | 2x-5+10x=6-4x-11 | | 10=4(3a+2) | | 2(x+5)(5-x)=10 | | 3(5-x)-4(3x-2)=27 | | 10y-5-3*(2y+5)=20 | | 10a-5a-2=28 | | -6(5-2x)=18 | | 10y-5-3x(2y+5)=20 | | 16*3+Z=48 | | 7y+9=5y+14 | | n^2+n=12 | | 2x+38=180 | | 3x+3x+2x=180 | | 4z+7=31-4z |

Equations solver categories