(2x-12)(3x+27)=0

Simple and best practice solution for (2x-12)(3x+27)=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 (2x-12)(3x+27)=0 equation: 


Simplifying
(2x + -12)(3x + 27) = 0

Reorder the terms:
(-12 + 2x)(3x + 27) = 0

Reorder the terms:
(-12 + 2x)(27 + 3x) = 0

Multiply (-12 + 2x) * (27 + 3x)
(-12(27 + 3x) + 2x * (27 + 3x)) = 0
((27 * -12 + 3x * -12) + 2x * (27 + 3x)) = 0
((-324 + -36x) + 2x * (27 + 3x)) = 0
(-324 + -36x + (27 * 2x + 3x * 2x)) = 0
(-324 + -36x + (54x + 6x2)) = 0

Combine like terms: -36x + 54x = 18x
(-324 + 18x + 6x2) = 0

Solving
-324 + 18x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-54 + 3x + x2) = 0

Factor a trinomial.
6((-9 + -1x)(6 + -1x)) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve:

Simplifying
-9 + -1x = 0

Solving
-9 + -1x = 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 + -1x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = 0 + 9
-1x = 0 + 9

Combine like terms: 0 + 9 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

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 = {-9, 6}

See similar equations:

| 78+k+12=180 | | 6(4w-2)=12(2w+7) | | 6x+66=57 | | -4a-3(a-2)=2(3a-2) | | -7(y+3)+3(4y-3)=4(y-4)+12 | | -(2y+1)=8(y+2) | | 8x=10x+6 | | F(x)=In(x^2-12x-13) | | 2n+2n+2n+2n=4n+3 | | -x+29=x+11 | | 5(0)=15x-90 | | 3x-4x+7=19 | | A=rs+y | | x+(x*0.09)=538.46 | | 5y=15(0)-90 | | 6x+23=4x+17 | | 2x+2(2x-14)=60 | | x+21=5x+5 | | (b+5)(2b-7)= | | 6x+5y+4z-4x+2z-7y= | | 2x^2-3=-165 | | 4c-13=-33 | | -7+2x=10x+9 | | 4.2x-1.4=1.68-3.5 | | -(8-y)-6(y-1)=4(y-2) | | (2x^2)-4=-102 | | 36=-81 | | -3y-11=5y+3 | | 3y+12-=22 | | -x-2=x+8 | | an=51-3n | | 78.5=2*3.14*r |

Equations solver categories