To solve this equation, we will first simplify both sides of the equation and then solve for x.
10(x-2) + 19 = (5x-1)(5x+1)10x - 20 + 19 = 25x^2 - 110x - 1 = 25x^2 - 110x = 25x^20 = 25x^2 - 10x0 = 5x(5x - 2)
Now, we have two possibilities:1) 5x = 0x = 0
2) 5x - 2 = 05x = 2x = 2/5
Therefore, the solutions to the equation are x = 0 and x = 2/5.
To solve this equation, we will first simplify both sides of the equation and then solve for x.
10(x-2) + 19 = (5x-1)(5x+1)
10x - 20 + 19 = 25x^2 - 1
10x - 1 = 25x^2 - 1
10x = 25x^2
0 = 25x^2 - 10x
0 = 5x(5x - 2)
Now, we have two possibilities:
1) 5x = 0
x = 0
2) 5x - 2 = 0
5x = 2
x = 2/5
Therefore, the solutions to the equation are x = 0 and x = 2/5.