(5x-9)(3x+6)=0

Simple and best practice solution for (5x-9)(3x+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 (5x-9)(3x+6)=0 equation: 


Simplifying
(5x + -9)(3x + 6) = 0

Reorder the terms:
(-9 + 5x)(3x + 6) = 0

Reorder the terms:
(-9 + 5x)(6 + 3x) = 0

Multiply (-9 + 5x) * (6 + 3x)
(-9(6 + 3x) + 5x * (6 + 3x)) = 0
((6 * -9 + 3x * -9) + 5x * (6 + 3x)) = 0
((-54 + -27x) + 5x * (6 + 3x)) = 0
(-54 + -27x + (6 * 5x + 3x * 5x)) = 0
(-54 + -27x + (30x + 15x2)) = 0

Combine like terms: -27x + 30x = 3x
(-54 + 3x + 15x2) = 0

Solving
-54 + 3x + 15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-18 + x + 5x2) = 0

Factor a trinomial.
3((-2 + -1x)(9 + -5x)) = 0

Ignore the factor 3.

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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 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 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
Set the factor '(9 + -5x)' equal to zero and attempt to solve:

Simplifying
9 + -5x = 0

Solving
9 + -5x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -5x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -5x = 0 + -9
-5x = 0 + -9

Combine like terms: 0 + -9 = -9
-5x = -9

Divide each side by '-5'.
x = 1.8

Simplifying
x = 1.8
Solution
x = {-2, 1.8}

See similar equations:

| z-11=23 | | -10n+35=0 | | 33=w+8 | | 7y/4=28 | | -3(x-2)=6(x+4) | | 361=6h+181 | | (x+15)2=x(x+7)+18 | | u=4(6n+33)+9(N+1) | | -2n(2n-9)=0 | | 7-4x+9=5x-2 | | 0=1+2lnx | | -v/6=-51 | | 8+7x=x+38 | | 10x=7x+30 | | X-0.1=4.4 | | 4[-3(x+5)]=7(x-2) | | 26=4u-14 | | x1/5=60 | | 3(2y+2)+25+6(6y-3)=18 | | u/3-9=15 | | y+9=32 | | x.1/5=60 | | -8x+6+9x=-18+20 | | 2x*5=70 | | 65x/85x | | 6x+5=5x-1 | | 2y+13=53 | | (N-1)(n+5)=0 | | -2(x-5)=7(x+1) | | y=log(x^2+6x) | | -5=2/5t-12 | | 3(2-y)=5(y+1) |

Equations solver categories