(3x+2)(5x+4)x=

Simple and best practice solution for (3x+2)(5x+4)x= 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+2)(5x+4)x= equation: 


Simplifying
(3x + 2)(5x + 4) * x = 0

Reorder the terms:
(2 + 3x)(5x + 4) * x = 0

Reorder the terms:
(2 + 3x)(4 + 5x) * x = 0

Reorder the terms for easier multiplication:
x(2 + 3x)(4 + 5x) = 0

Multiply (2 + 3x) * (4 + 5x)
x(2(4 + 5x) + 3x * (4 + 5x)) = 0
x((4 * 2 + 5x * 2) + 3x * (4 + 5x)) = 0
x((8 + 10x) + 3x * (4 + 5x)) = 0
x(8 + 10x + (4 * 3x + 5x * 3x)) = 0
x(8 + 10x + (12x + 15x2)) = 0

Combine like terms: 10x + 12x = 22x
x(8 + 22x + 15x2) = 0
(8 * x + 22x * x + 15x2 * x) = 0
(8x + 22x2 + 15x3) = 0

Solving
8x + 22x2 + 15x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(8 + 22x + 15x2) = 0

Factor a trinomial.
x((4 + 5x)(2 + 3x)) = 0


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 '(4 + 5x)' equal to zero and attempt to solve:

Simplifying
4 + 5x = 0

Solving
4 + 5x = 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 + 5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 0 + -4
5x = 0 + -4

Combine like terms: 0 + -4 = -4
5x = -4

Divide each side by '5'.
x = -0.8

Simplifying
x = -0.8

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

Simplifying
2 + 3x = 0

Solving
2 + 3x = 0

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

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

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

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

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

Simplifying
x = -0.6666666667
Solution
x = {0, -0.8, -0.6666666667}

See similar equations:

| 9x^2=-2x+2 | | 30+4L=100 | | 3t-10=28 | | 5(3.2+0.2y)+y=16 | | -4(-3+10x)-7(x-10)=-11x+5x | | 10y-7y-5=52.72 | | (a)-13+24= | | 3.2+0.2y+y=16 | | x+(x+6)=120 | | b/r–c/r=1 | | 8=5-3g | | 29/18/4/9 | | 4x^2=12x^2-24x | | -2/5v-3/5=6v-1/2 | | (9x+2)*(2x+1)=0 | | -1/4-(-9/20) | | -4+3.2x-6= | | 7(-22/3)-2((-22/3)-7) | | 6-18-18x=0 | | 6-36x=0 | | 56+x=44 | | 23x-13y=-11 | | 3-3w=9 | | 3(6x+9-9)+8=70-2x | | (3g-2h)(8)=0 | | 2/3=9/x | | 1/3(6x-9)=4x-5 | | 14=2(8)+1 | | x+-24=18 | | 1/3(6x-9)=4c-5 | | 16/(2x^2) | | 4p^2-6p-5=0 |

Equations solver categories