Let's expand the left side of the equation first:
4x(x+3) + (2x-3)(2x-5)= 4x^2 + 12x + 2x(2x) - 3(2x) - 3(2x) + 35= 4x^2 + 12x + 4x^2 - 6x - 6x + 15= 8x^2 + 12x - 6x + 15= 8x^2 + 6x + 15
Now, the right side of the equation is -1 + 8x^2.
Equating the left and right sides:
8x^2 + 6x + 15 = -1 + 8x^2
Rearranging terms:
6x + 15 = -1
Subtracting 15 from both sides:
6x = -16
Dividing by 6:
x = -16/6x = -8/3
Therefore, the solution to the equation is x = -8/3.
Let's expand the left side of the equation first:
4x(x+3) + (2x-3)(2x-5)
= 4x^2 + 12x + 2x(2x) - 3(2x) - 3(2x) + 35
= 4x^2 + 12x + 4x^2 - 6x - 6x + 15
= 8x^2 + 12x - 6x + 15
= 8x^2 + 6x + 15
Now, the right side of the equation is -1 + 8x^2.
Equating the left and right sides:
8x^2 + 6x + 15 = -1 + 8x^2
Rearranging terms:
6x + 15 = -1
Subtracting 15 from both sides:
6x = -16
Dividing by 6:
x = -16/6
x = -8/3
Therefore, the solution to the equation is x = -8/3.