Expanding the left side of the equation:
(2x-1)(15+9x) - 6x(3x-5)= 2x(15) + 2x(9x) - 15 - 9x - 6x(3x) + 6x(5)= 30x + 18x^2 - 15 - 9x - 18x^2 + 30x= 48x - 15
Setting the expanded expression equal to 87:
48x - 15 = 87
Adding 15 to both sides:
48x = 102
Dividing by 48:
x = 102/48x = 2.125
Therefore, the solution to the equation is x = 2.125.
Expanding the left side of the equation:
(2x-1)(15+9x) - 6x(3x-5)
= 2x(15) + 2x(9x) - 15 - 9x - 6x(3x) + 6x(5)
= 30x + 18x^2 - 15 - 9x - 18x^2 + 30x
= 48x - 15
Setting the expanded expression equal to 87:
48x - 15 = 87
Adding 15 to both sides:
48x = 102
Dividing by 48:
x = 102/48
x = 2.125
Therefore, the solution to the equation is x = 2.125.