(1/2x-3)(4x-1/3)
It is not an equation, it is an algebraic expression.
You could get rid of the fractions by multiplying by 6/6
(1/2x-3)(4x-1/3)
= (1/2x-3)(4x-1/3) * 6/6
= (3x - 18)/(24x - 2)
= 3(x - 6)/(2(12x - 1)) , (don't know if that looks any more simplified)
what do you want us to do with this equation?????
(1/2x-3)(4x-1/3).
2x^2 - 1/6x - 12x + 1,
2x^2 - 73/6x + 1.
To simplify the expression (1/2x - 3)(4x - 1/3), we can use the distributive property of multiplication over addition/subtraction.
Step 1: Remove the parentheses by multiplying each term in the first set of parentheses (1/2x - 3) by each term in the second set of parentheses (4x - 1/3).
(1/2x - 3)(4x - 1/3) = (1/2x)(4x) + (1/2x)(-1/3) + (-3)(4x) + (-3)(-1/3)
Step 2: Simplify each term by multiplying the coefficients and adding/subtracting the exponents.
(1/2x)(4x) = (1/2)(4)(x)(x) = 2x^2
(1/2x)(-1/3) = (1/2)(-1/3)(x) = -1/6x
(-3)(4x) = -12x
(-3)(-1/3) = (3)(1/3) = 1
Step 3: Combine like terms.
2x^2 - 1/6x - 12x + 1
Step 4: Combine the x^2 and x terms.
2x^2 - (1/6 + 12)x + 1
The simplified expression is 2x^2 - (73/6)x + 1.