(3x+2)(5x-4)=0

Simple and best practice solution for (3x+2)(5x-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+2)(5x-4)=0 equation: 


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

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

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

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

Combine like terms: 10x + -12x = -2x
(-8 + -2x + 15x2) = 0

Solving
-8 + -2x + 15x2 = 0

Solving for variable 'x'.

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


Subproblem 1
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

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
Solution
x = {-0.6666666667, 0.8}

See similar equations:

| 6x-94=46+x | | -6(2x+5)=90 | | -3x-109=53-9x | | 5=6(q-5) | | 2(1-2x)-x=3(x-1)+7 | | 7+1+7r-2r=r+1+5r | | 2(5+x)+3(4x+2y)= | | 4(3n+3)=8(5n+1)+1 | | 10x-4+7x+4=180 | | x+3x-40=48 | | 4(a+4)+5(a+1)= | | (5-b)(12-5b)=0 | | 6b-2(b-1)=-4 | | (y-5)(y-5)=16 | | 5ln(2x)=35 | | 6sinx= | | dx=ln(6x) | | -109+x+7x=59 | | -6y+[7-(6y-7)]= | | (x)(x)=384 | | -1*-23= | | -12x-9+24x+1=43 | | 109.50+15a=318 | | (E^3x-5)*(e^2x)=135 | | -2(t+4.66)=9.5 | | 3x^2-258=0 | | -5c=9(-2c-13) | | 20-4b=3(2b-20) | | 235x-367379x+658x+463x=986 | | 8x^2+49x+6=0 | | 49=7[3t-2] | | 3n-5=-48+5n |

Equations solver categories