(3x+24)(9x-54)=0

Simple and best practice solution for (3x+24)(9x-54)=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+24)(9x-54)=0 equation: 


Simplifying
(3x + 24)(9x + -54) = 0

Reorder the terms:
(24 + 3x)(9x + -54) = 0

Reorder the terms:
(24 + 3x)(-54 + 9x) = 0

Multiply (24 + 3x) * (-54 + 9x)
(24(-54 + 9x) + 3x * (-54 + 9x)) = 0
((-54 * 24 + 9x * 24) + 3x * (-54 + 9x)) = 0
((-1296 + 216x) + 3x * (-54 + 9x)) = 0
(-1296 + 216x + (-54 * 3x + 9x * 3x)) = 0
(-1296 + 216x + (-162x + 27x2)) = 0

Combine like terms: 216x + -162x = 54x
(-1296 + 54x + 27x2) = 0

Solving
-1296 + 54x + 27x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '27'.
27(-48 + 2x + x2) = 0

Factor a trinomial.
27((-8 + -1x)(6 + -1x)) = 0

Ignore the factor 27.

Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-8, 6}

See similar equations:

| 4x-33=15x+34 | | 4x+33=15x-34 | | .25-e^(-5/x)=0 | | 2x+2x+5+x^2+3=85 | | n^2+17n+60= | | 1/4x=5/6x-7 | | 4x+3=2(5+2x) | | 8-5(10x+8)+4x= | | 40=16t^2 | | 7e-5+12-3e= | | a=3t^2-13t+18 | | 1.5sin(2t)=0 | | 3x^2-3x+5=2 | | 4800=3t^2-13t+18 | | 37x^18/4^6 | | -17x+51= | | e^8x=5 | | z*9+9=2 | | (4n)+10=73 | | 4n+10=73 | | 11(10x+10)= | | -8x+13=-3 | | 96=-82x | | 7x*0-8y=-56 | | 1/2y-1/3(y-1)=4y | | sin(x-20)=0.5 | | x-8(7x+2)= | | (144x^12)1/2 | | 12x+10=10x-166 | | 3x-8=12x-2 | | 36x-8=4 | | 2(7-x)+44x=20 |

Equations solver categories