2x(3x-1)(4x+3)=0

Simple and best practice solution for 2x(3x-1)(4x+3)=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(3x-1)(4x+3)=0 equation:


Simplifying
2x(3x + -1)(4x + 3) = 0

Reorder the terms:
2x(-1 + 3x)(4x + 3) = 0

Reorder the terms:
2x(-1 + 3x)(3 + 4x) = 0

Multiply (-1 + 3x) * (3 + 4x)
2x(-1(3 + 4x) + 3x * (3 + 4x)) = 0
2x((3 * -1 + 4x * -1) + 3x * (3 + 4x)) = 0
2x((-3 + -4x) + 3x * (3 + 4x)) = 0
2x(-3 + -4x + (3 * 3x + 4x * 3x)) = 0
2x(-3 + -4x + (9x + 12x2)) = 0

Combine like terms: -4x + 9x = 5x
2x(-3 + 5x + 12x2) = 0
(-3 * 2x + 5x * 2x + 12x2 * 2x) = 0
(-6x + 10x2 + 24x3) = 0

Solving
-6x + 10x2 + 24x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-3 + 5x + 12x2) = 0

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

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

Simplifying
1 + -3x = 0

Solving
1 + -3x = 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 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333
Solution
x = {0, -0.75, 0.3333333333}

See similar equations:

| 0=-16x^2+64x+5 | | 5x-8=5x+8 | | 35x^2-275x+210=0 | | p^2+-20=12p | | 29970=x+0.11x | | 15x+23(1314-x)=24614 | | 4x+2y=480 | | 480=200x | | 3(3x-4)=8+2x+5 | | -3b-2b-b=12+5+1 | | 16r^2-72r+80=0 | | x^2+14x+10=-x^2+3x+5 | | 2.5+-.5y-y=13 | | (X-20)2=25 | | 2a-6=3+a | | 8x+1=30x+20 | | (3y-1)(3y+1)=25 | | 27j-6=4j+7 | | r^2+1r-30=0 | | 12x^2-32x-10=0 | | 5z=5z-4+6 | | (2y-1)(2y+1)=25 | | 6x^2y-18x^3y^2=0 | | 3(5n-7)=5(8n+11) | | (y+2)(y-2)=25 | | 4z=1z-4+6 | | 9(-6)-2(-6)=-42 | | -5-8=2 | | -7a-5(7+6a)=29-5a | | 18x^2+33+13=0 | | 3x-10+8x-5+2x=180 | | -25x^2+9y^2-225=0 |

Equations solver categories