2a(2a-1)(3a+2)=

Simple and best practice solution for 2a(2a-1)(3a+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 2a(2a-1)(3a+2)= equation: 


Simplifying
2a(2a + -1)(3a + 2) = 0

Reorder the terms:
2a(-1 + 2a)(3a + 2) = 0

Reorder the terms:
2a(-1 + 2a)(2 + 3a) = 0

Multiply (-1 + 2a) * (2 + 3a)
2a(-1(2 + 3a) + 2a * (2 + 3a)) = 0
2a((2 * -1 + 3a * -1) + 2a * (2 + 3a)) = 0
2a((-2 + -3a) + 2a * (2 + 3a)) = 0
2a(-2 + -3a + (2 * 2a + 3a * 2a)) = 0
2a(-2 + -3a + (4a + 6a2)) = 0

Combine like terms: -3a + 4a = 1a
2a(-2 + 1a + 6a2) = 0
(-2 * 2a + 1a * 2a + 6a2 * 2a) = 0
(-4a + 2a2 + 12a3) = 0

Solving
-4a + 2a2 + 12a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2a'.
2a(-2 + a + 6a2) = 0

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

Ignore the factor 2.

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 '(-2 + -3a)' equal to zero and attempt to solve:

Simplifying
-2 + -3a = 0

Solving
-2 + -3a = 0

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

Add '2' to each side of the equation.
-2 + 2 + -3a = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3a = 0 + 2
-3a = 0 + 2

Combine like terms: 0 + 2 = 2
-3a = 2

Divide each side by '-3'.
a = -0.6666666667

Simplifying
a = -0.6666666667

Subproblem 3
Set the factor '(1 + -2a)' equal to zero and attempt to solve:

Simplifying
1 + -2a = 0

Solving
1 + -2a = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2a = 0 + -1
-2a = 0 + -1

Combine like terms: 0 + -1 = -1
-2a = -1

Divide each side by '-2'.
a = 0.5

Simplifying
a = 0.5
Solution
a = {0, -0.6666666667, 0.5}

See similar equations:

| 2x-20=7x+40 | | 9n-4+m=16 | | 25x^2-52x=0 | | 6x+.80=6x | | -14=20y-7x | | wb=fb+fa | | -6x-7x=-7x | | 53+-31d=-443 | | (3r-2)(4r+4)= | | 392.5=.333(3.14)(25)(h) | | 4y-5x=3 | | x^3+6=10 | | 6=a*8+b*4+c*2+d | | 4x-8-6x=-26 | | -8+8x-4x=-10+6x | | .14-0.03(x+1)=-.02(2-x) | | 25t^2-60t+36= | | B=47+6 | | 8x^2=560 | | 2h-6=h+17 | | 3a=4800 | | w+3+w=41 | | -12+3x=-2x-47 | | y-1=.66(x+6) | | 3+6x+6x=-33 | | 3x^2+13x-40=0 | | 64=8(1r+2) | | w+w+3+2(w+3)=41 | | 44x^2+62x+c=0 | | R(100)=31x-0.001x^2 | | 20x^2-x-100=0 | | 6.1=9.6-0.5x |

Equations solver categories