(3x-5)(2x+6)=0

Simple and best practice solution for (3x-5)(2x+6)=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+6)=0 equation: 


Simplifying
(3x + -5)(2x + 6) = 0

Reorder the terms:
(-5 + 3x)(2x + 6) = 0

Reorder the terms:
(-5 + 3x)(6 + 2x) = 0

Multiply (-5 + 3x) * (6 + 2x)
(-5(6 + 2x) + 3x * (6 + 2x)) = 0
((6 * -5 + 2x * -5) + 3x * (6 + 2x)) = 0
((-30 + -10x) + 3x * (6 + 2x)) = 0
(-30 + -10x + (6 * 3x + 2x * 3x)) = 0
(-30 + -10x + (18x + 6x2)) = 0

Combine like terms: -10x + 18x = 8x
(-30 + 8x + 6x2) = 0

Solving
-30 + 8x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-15 + 4x + 3x2) = 0

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

Ignore the factor 2.

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

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 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 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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 = {-3, 1.666666667}

See similar equations:

| 4m=12-m-m | | (x/3)-(x/4)=(9/4) | | 0.75p=p-180 | | 9Y-63=8Y-7 | | -(7y+3)-(6y-8)=5 | | 3(x+2)=5-2x | | 1r-10=4+5(2r-1) | | 0.75p=p-180 | | 10b=-9b+8 | | x/4-4=-17 | | -6x+4=-7x+1 | | -45+z=2 | | 0.25p=p-180 | | 9x^2-x^3-10=0 | | 2n+7-8n=34-12n+15 | | 16d-(4-5d)=-16 | | 6-2x+3x=33-2x | | 2(3x-1)=40 | | (1+2b^2)/b | | -4(2w+1)-w=32 | | 0.3(x+20)+0.9x=42 | | Pqs=3x | | 4x+(3x+13)=6 | | 2a+-(a-7)=48 | | 4z+4=5z | | 8+10n-6=4n+18-2n | | -7x-3(-3x-13)=53 | | 2x/2=99 | | 5m=-10+6m | | 7-3(2x+5)=9x+6 | | x-8.2=-3.7 | | (-8a-5b)+9a= |

Equations solver categories