First, let's expand the expression using the formula for the square of a binomial:
(6x+1)^2 = (6x+1)(6x+1) = 36x^2 + 12x + 1
Now, we can substitute this back into the original equation:
(36x^2 + 12x + 1)(6x + 1) - 24 = 0
Expanding further:
216x^3 + 36x^2 + 6x + 36x^2 + 12x + 1 - 24 = 0
Combining like terms:
216x^3 + 72x^2 + 18x + 1 - 24 = 0216x^3 + 72x^2 + 18x - 23 = 0
This is the simplified form of the equation.
First, let's expand the expression using the formula for the square of a binomial:
(6x+1)^2 = (6x+1)(6x+1) = 36x^2 + 12x + 1
Now, we can substitute this back into the original equation:
(36x^2 + 12x + 1)(6x + 1) - 24 = 0
Expanding further:
216x^3 + 36x^2 + 6x + 36x^2 + 12x + 1 - 24 = 0
Combining like terms:
216x^3 + 72x^2 + 18x + 1 - 24 = 0
216x^3 + 72x^2 + 18x - 23 = 0
This is the simplified form of the equation.