3х(5+12х)-(6х-1)(6х+1)≥10х

Let's solve the inequality step by step:

First, we simplify both sides of the equation:

3x(5+12x) - (6x-1)(6x+1) ≥ 10x

Simplify the expression inside the parentheses:

3x(5+12x) - (36x^2 - 1) ≥ 10x

Distribute the 3x on the left side:

15x + 36x^2 - (36x^2 - 1) ≥ 10x

Combine like terms:

15x + 36x^2 - 36x^2 + 1 ≥ 10x

15x + 1 ≥ 10x

Next, we isolate the x terms on one side of the inequality by subtracting 10x from both sides:

15x - 10x + 1 ≥ 10x - 10x

5x + 1 ≥ 0

Now, we subtract 1 from both sides:

5x + 1 - 1 ≥ 0 - 1

5x ≥ -1

Finally, we divide both sides by 5:

(5x)/5 ≥ (-1)/5

x ≥ -1/5

Therefore, the solution to the inequality is x ≥ -1/5.