solve 4 x: (5x/4)=(x/12)(x/2)?

(5/4) * x = [(1/12) * x ] * [ (1/2) * x ]

Multiply using the distributive property. On the right side: (1 / 2) * (1 / 12) = (1 / 24)

and x * x = x^(2) because x^(1) * x^(1) = x^(1 + 1) = x^(2).

(5/4) *x = (1/24) * x^(2)

Subtract (5/4) * x to both sides of the equation.

(1/24) * x^(2) - (5/4) * x = 0

Factor by taking out an x.

x [ (1/24)x - (5/4) ] = 0

Set each factor equal to zero and solve for x.

x = 0

(1/24)x - (5/4) = 0

Add (5/4) to both sides of the equation.

(1/24)x = (5/4)

Divide both sides of the equation by (1/24).

x = 30

---------------------------> ANSWER--------------------------------------------> x = 0 and x = 30

Considering how you typed this your really bad at language as well.

4x=x*x*5x/(12*2*4)

4x=5x^3/96

384x=5x^3

x*(5x^2-384)=0

x=0 or x=8.763 or x=-8,763