Let's first expand the equation:
81x^2 - (4-9x)^2 = 5681x^2 - (16 - 72x + 81x^2) = 5681x^2 - 16 + 72x - 81x^2 = 5681x^2 - 81x^2 + 72x - 16 = 5672x - 16 = 56
Now, add 16 to both sides:
72x = 72
Divide both sides by 72:
x = 1
Therefore, the solution to the equation is x = 1.
Let's first expand the equation:
81x^2 - (4-9x)^2 = 56
81x^2 - (16 - 72x + 81x^2) = 56
81x^2 - 16 + 72x - 81x^2 = 56
81x^2 - 81x^2 + 72x - 16 = 56
72x - 16 = 56
Now, add 16 to both sides:
72x = 72
Divide both sides by 72:
x = 1
Therefore, the solution to the equation is x = 1.