(12x+3)(18-9x)=0

Simple and best practice solution for (12x+3)(18-9x)=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 (12x+3)(18-9x)=0 equation: 


Simplifying
(12x + 3)(18 + -9x) = 0

Reorder the terms:
(3 + 12x)(18 + -9x) = 0

Multiply (3 + 12x) * (18 + -9x)
(3(18 + -9x) + 12x * (18 + -9x)) = 0
((18 * 3 + -9x * 3) + 12x * (18 + -9x)) = 0
((54 + -27x) + 12x * (18 + -9x)) = 0
(54 + -27x + (18 * 12x + -9x * 12x)) = 0
(54 + -27x + (216x + -108x2)) = 0

Combine like terms: -27x + 216x = 189x
(54 + 189x + -108x2) = 0

Solving
54 + 189x + -108x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '27'.
27(2 + 7x + -4x2) = 0

Factor a trinomial.
27((2 + -1x)(1 + 4x)) = 0

Ignore the factor 27.

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 '(1 + 4x)' equal to zero and attempt to solve:

Simplifying
1 + 4x = 0

Solving
1 + 4x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4x = 0 + -1
4x = 0 + -1

Combine like terms: 0 + -1 = -1
4x = -1

Divide each side by '4'.
x = -0.25

Simplifying
x = -0.25
Solution
x = {2, -0.25}

See similar equations:

| x+71+3x-11=180 | | 1.8c+32=1.8c-32 | | 2x^2+10x=600 | | F(x)=4cosx | | 4y-4=-9(y-1) | | -16x+2y=-30 | | 5/9•p=-10 | | n+0.6=2n+0.1 | | (1/8)e=7 | | 7x=5(x+4) | | y=7-8 | | 6n^2-16n=0 | | r=sin(3t)+cos(5t) | | 16=v/3-11 | | -2x+x-24=0 | | b-2+15=16 | | 3(v+5)-7v=-17 | | -3/10x-3=5x-10 | | 12.9x=4.3x^2 | | 3y^2-25y+48=0 | | 3x^2+5x^2=8x^2 | | -4x+3=2x+3 | | 15=3y-3 | | 2c+(5c+c)= | | 7v^2+49v+0=0 | | 46x^2-56x-63.75=0 | | 2y-8=14 | | 3y^2-15y+9=0 | | 4x=7-x*2 | | 12x+4=90 | | -2x+1=2x-1 | | v^2+v+-6=0 |

Equations solver categories