4a^3-12a+5a=0

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


Simplifying
4a3 + -12a + 5a = 0

Reorder the terms:
-12a + 5a + 4a3 = 0

Combine like terms: -12a + 5a = -7a
-7a + 4a3 = 0

Solving
-7a + 4a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(-7 + 4a2) = 0


Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0

Subproblem 2
Set the factor '(-7 + 4a2)' equal to zero and attempt to solve:

Simplifying
-7 + 4a2 = 0

Solving
-7 + 4a2 = 0

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

Add '7' to each side of the equation.
-7 + 7 + 4a2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 4a2 = 0 + 7
4a2 = 0 + 7

Combine like terms: 0 + 7 = 7
4a2 = 7

Divide each side by '4'.
a2 = 1.75

Simplifying
a2 = 1.75

Take the square root of each side:
a = {-1.322875656, 1.322875656}
Solution
a = {0, -1.322875656, 1.322875656}

See similar equations:

| 4x+6=10x+9 | | 2x*4=36 | | 7x-42/3x-18 | | 3x^2(4y+5)= | | 5(2x-4)+8=32 | | 3x*3x-4x=28 | | -4(5y-2)-y=-4(y-2) | | 14x-289/34 | | 1108+6(180+7-31)= | | 2*8*2*x-2=3*9*2*x+3 | | -6y=-31 | | n^2-4n+4=6 | | -4(5y-2)-y=4(y-2) | | 2*8*x-2=3*9*x+3 | | d+17=5 | | r=160/32 | | -5x+8x-3x=-10-18 | | 960=400x | | ln(2x^3)=4 | | 8y^2=2y^2+25 | | 2*x+4=3*x+15 | | d=3*4 | | x^2+2x+4y-3=0 | | x=1.1 | | t=160*40 | | (3t-4)(t^2-5t+1)= | | t=160/40 | | 8-(2x+5)=23 | | 2*x+2=3*x+5 | | 5m+9=16 | | r=22/11 | | -4=2+c |

Equations solver categories