X-3x(1-12x)=11-(5-6x)(6x+5)

To simplify the given expression, let's distribute and combine like terms on both sides of the equation.

On the left side, we have: x - 3x(1-12x) = x - 3x + 36x^2

On the right side, we have: 11 - (5-6x)(6x+5) Using the distributive property, we have: 11 - (30x^2 + 25 - 36x^2 - 30x)

Simplifying further, we have: x - 3x + 36x^2 = 11 - 30x^2 - 25 + 36x^2 + 30x

Combine like terms: -2x - 4x^2 = -30 + 6x^2 + 30x

Adding like terms, we get: -2x - 4x^2 = 6x^2 + 30x - 30

Rearranging the equation, we have: 0 = 6x^2 + 30x - 30 + 4x^2 + 2x

Combining like terms again, we get: 0 = 10x^2 + 32x - 30

To simplify further, let's divide all terms by 2: 0 = 5x^2 + 16x - 15

Now, we have a quadratic equation that can be solved by factoring, completing the square, or using the quadratic formula.