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

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


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

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

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

Multiply (-5 + 3x) * (-3 + 2x)
(-5(-3 + 2x) + 3x * (-3 + 2x)) = 0
((-3 * -5 + 2x * -5) + 3x * (-3 + 2x)) = 0
((15 + -10x) + 3x * (-3 + 2x)) = 0
(15 + -10x + (-3 * 3x + 2x * 3x)) = 0
(15 + -10x + (-9x + 6x2)) = 0

Combine like terms: -10x + -9x = -19x
(15 + -19x + 6x2) = 0

Solving
15 + -19x + 6x2 = 0

Solving for variable 'x'.

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


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

Simplifying
3 + -2x = 0

Solving
3 + -2x = 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 + -2x = 0 + -3

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

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

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5

Subproblem 2
Set the factor '(5 + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3x = 0

Solving
5 + -3x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 0 + -5
-3x = 0 + -5

Combine like terms: 0 + -5 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667
Solution
x = {1.5, 1.666666667}

See similar equations:

| 55t+75=174 | | 12-6=2y | | -9(6-4N)+32= | | X+5=33-5X | | 3m+7=34whatism | | -20+2x=-3x+20 | | dy/dt=-1/2y | | 4x+2x-3x=18 | | 1n+.3=1.5 | | 8c+4+5c=24+9C | | 1/2*9x*6x= | | 2a-3b-4c=7 | | 16d+61=9 | | 1n+3=1n+5 | | -5x+6y=1 | | 15x-4(4+3x)=-5(2x-5)+1 | | x-18=30 | | logm(m^2)=x | | x-.25=8000 | | 7x-7=2b+13 | | 5c+5d+2d= | | 165+90+x=180 | | -3ab^3*(-4a^4)*b^5= | | 4a8/2a4 | | R2s4t6/r3s4t-6 | | (1/3)(15z-21)=(2/5)(10z-35) | | 2x^4*yx*6xy^2*z^3= | | 0.6a-0.4a-2.8a=3-8.2 | | H=-5t^2+110t+110 | | 13+f=23 | | -3(d-5)=2(4d-8) | | h=-16*2+541 |

Equations solver categories