3x(2x+7)(3x-4)=0

Simple and best practice solution for 3x(2x+7)(3x-4)=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 3x(2x+7)(3x-4)=0 equation: 


Simplifying
3x(2x + 7)(3x + -4) = 0

Reorder the terms:
3x(7 + 2x)(3x + -4) = 0

Reorder the terms:
3x(7 + 2x)(-4 + 3x) = 0

Multiply (7 + 2x) * (-4 + 3x)
3x(7(-4 + 3x) + 2x * (-4 + 3x)) = 0
3x((-4 * 7 + 3x * 7) + 2x * (-4 + 3x)) = 0
3x((-28 + 21x) + 2x * (-4 + 3x)) = 0
3x(-28 + 21x + (-4 * 2x + 3x * 2x)) = 0
3x(-28 + 21x + (-8x + 6x2)) = 0

Combine like terms: 21x + -8x = 13x
3x(-28 + 13x + 6x2) = 0
(-28 * 3x + 13x * 3x + 6x2 * 3x) = 0
(-84x + 39x2 + 18x3) = 0

Solving
-84x + 39x2 + 18x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-28 + 13x + 6x2) = 0

Factor a trinomial.
3x((-7 + -2x)(4 + -3x)) = 0

Ignore the factor 3.

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 '(-7 + -2x)' equal to zero and attempt to solve:

Simplifying
-7 + -2x = 0

Solving
-7 + -2x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -2x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2x = 0 + 7
-2x = 0 + 7

Combine like terms: 0 + 7 = 7
-2x = 7

Divide each side by '-2'.
x = -3.5

Simplifying
x = -3.5

Subproblem 3
Set the factor '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {0, -3.5, 1.333333333}

See similar equations:

| 12x-5=21+31x | | .75(x+8)=.3(x+27) | | 9x-6(9-x)=51 | | 39=12m | | m-6=4+.5m | | 8n+9=-7 | | 16h-9h=7 | | 11x+4=125 | | 7z-4z=15 | | tx-7=4x-1 | | 7z-4z=14 | | 99x+4=97x+6 | | 6=3x-19 | | 7x-4z=15 | | 11+4=125 | | 19-4z=10 | | 6(8bx+y)=47bx-4y | | R+6r=14 | | 2(3x+2)=-5(5x-1) | | 13r-11r=6 | | X^2-181x+900=0 | | 6y+1=6+(-4y) | | 121-20v=-11v+4 | | 3x-y+2z=0 | | 30=-30n+(-11) | | x=1.916666667+-0.4166666667y | | 1.4+.5e=1.5e-0.8 | | .5(6+-4y)+2y=3 | | 299-9x=8x+10 | | 12x+5y=23 | | x(x+4)=13 | | 2g-.12=g |

Equations solver categories