(16-12X)(9X-12)=0

Simple and best practice solution for (16-12X)(9X-12)=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 (16-12X)(9X-12)=0 equation: 


Simplifying
(16 + -12X)(9X + -12) = 0

Reorder the terms:
(16 + -12X)(-12 + 9X) = 0

Multiply (16 + -12X) * (-12 + 9X)
(16(-12 + 9X) + -12X * (-12 + 9X)) = 0
((-12 * 16 + 9X * 16) + -12X * (-12 + 9X)) = 0
((-192 + 144X) + -12X * (-12 + 9X)) = 0
(-192 + 144X + (-12 * -12X + 9X * -12X)) = 0
(-192 + 144X + (144X + -108X2)) = 0

Combine like terms: 144X + 144X = 288X
(-192 + 288X + -108X2) = 0

Solving
-192 + 288X + -108X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '12'.
12(-16 + 24X + -9X2) = 0

Factor a trinomial.
12((-4 + 3X)(4 + -3X)) = 0

Ignore the factor 12.

Subproblem 1
Set the factor '(-4 + 3X)' equal to zero and attempt to solve:

Simplifying
-4 + 3X = 0

Solving
-4 + 3X = 0

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

Add '4' to each side of the equation.
-4 + 4 + 3X = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 3X = 0 + 4
3X = 0 + 4

Combine like terms: 0 + 4 = 4
3X = 4

Divide each side by '3'.
X = 1.333333333

Simplifying
X = 1.333333333

Subproblem 2
Set the factor '(4 + -3X)' equal to zero and attempt to solve:

Simplifying
4 + -3X = 0

Solving
4 + -3X = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3X = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3X = 0 + -4
-3X = 0 + -4

Combine like terms: 0 + -4 = -4
-3X = -4

Divide each side by '-3'.
X = 1.333333333

Simplifying
X = 1.333333333
Solution
X = {1.333333333, 1.333333333}

See similar equations:

| 18=-6x+3y | | 0=-16t^2+32t+3 | | 4-y=2y-11 | | -40+R=-6(2r-4)-3r | | 4x-(x+5)=4 | | 40t-16t^2-2=0 | | 15x^2-31x-24=0 | | 7a^6b^-2/21a^2b-5 | | 2^5-3x=1/16 | | 121x^2-75=0 | | -27-2n=-3(8n-7)-4 | | -10+3fk=5f+6 | | k-273/25=p | | 16t^2-40t+2=0 | | 1+p=2p-6 | | 3x+38=8x-2 | | 3x-10=47 | | 1/6t^2-16=0 | | 27x^2+30x+3=0 | | (9/4)y=(2/3)y | | 125(3p)=27(5p) | | x+3=x^2+3x+6 | | -9+8x=5x+1-2x | | 4(-1-5x)=-44 | | 4x(x-5)=3x+5(x-5) | | 3=x^2+3x+6 | | 12.5=38x+48 | | -3(2x+5)=-21 | | 1-5a+9=9 | | (4x^2-3x-11)/(2x-1) | | -6(3+2x)=-126 | | (4X-3)=0 |

Equations solver categories