exam Maths Puzzle Numerical Ability

what is the cuberoot t+12-t=0 this does not make sense to me. Can you please show me algebraically showing all potential solutions.

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A semiconductor manufacturer seeks to maximize its profits. Testing indicates that they can produce 100,000 chips per week at a cost of $40 per chip, and sell them for $65 per chi find the inverse of the function f(x)= 3x^2+12x+6