(3x-15)(2x+3)=0

Simple and best practice solution for (3x-15)(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-15)(2x+3)=0 equation: 


Simplifying
(3x + -15)(2x + 3) = 0

Reorder the terms:
(-15 + 3x)(2x + 3) = 0

Reorder the terms:
(-15 + 3x)(3 + 2x) = 0

Multiply (-15 + 3x) * (3 + 2x)
(-15(3 + 2x) + 3x * (3 + 2x)) = 0
((3 * -15 + 2x * -15) + 3x * (3 + 2x)) = 0
((-45 + -30x) + 3x * (3 + 2x)) = 0
(-45 + -30x + (3 * 3x + 2x * 3x)) = 0
(-45 + -30x + (9x + 6x2)) = 0

Combine like terms: -30x + 9x = -21x
(-45 + -21x + 6x2) = 0

Solving
-45 + -21x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-15 + -7x + 2x2) = 0

Factor a trinomial.
3((-3 + -2x)(5 + -1x)) = 0

Ignore the factor 3.

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 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-1.5, 5}

See similar equations:

| y+(-14)=9 | | (3x-12)/(28-7x) | | 7x+4-x=3x-5 | | 13-x+16=25-3 | | -17-13x=41-15x | | -y+3=14 | | -199+6x=46-5x | | 3/5z=3/8 | | w/21=23/7 | | d^2+13d+12=0 | | y-(-8)=10 | | -x^2+75x-2=0 | | 5x-10x=9x+4 | | 7x^2-2+3x=0 | | 7y(18y-54)=71 | | t(t-5)-36=0 | | y=2x*2x-3 | | y=2x*2-3 | | (-5.5X10^3N/C^2xM^2)x?=?N/Mc^2xM^2 | | -2/3j/4 | | 1/2*x=0 | | 60z^5/15z^10 | | 8-3/4c=5 | | 2+3(3n+3)=38 | | 1-2*x=0 | | 36=-2x-3(-1+3x) | | 2sinx=9cosx | | 11-x+27=53-8 | | 5(b-73)=80 | | -114=-2(1+7b) | | 8y-4+y^2+31=180 | | -96=-3(7a-3) |

Equations solver categories