Let's first expand both sides of the equation:
(8-9x)x = -40 + (6-3x)(6+3x8x - 9x^2 = -40 + 36 - 9x^2
Now, let's combine like terms:
8x - 9x^2 = -4
Rearranging the terms, we get:
9x^2 - 8x - 4 = 0
Now, we can solve for x by using the quadratic formula:
x = (-(-8) ± √((-8)^2 - 4(9)(-4))) / 2(9x = (8 ± √(64 + 144)) / 1x = (8 ± √208) / 18
Therefore, the solutions for x are:
x = (8 + √208) / 18 or x = (8 - √208) / 18
Let's first expand both sides of the equation:
(8-9x)x = -40 + (6-3x)(6+3x
8x - 9x^2 = -40 + 36 - 9x^2
Now, let's combine like terms:
8x - 9x^2 = -4
Rearranging the terms, we get:
9x^2 - 8x - 4 = 0
Now, we can solve for x by using the quadratic formula:
x = (-(-8) ± √((-8)^2 - 4(9)(-4))) / 2(9
x = (8 ± √(64 + 144)) / 1
x = (8 ± √208) / 18
Therefore, the solutions for x are:
x = (8 + √208) / 18 or x = (8 - √208) / 18