exam Maths Puzzle Numerical Ability

Goof day ma'am or sir, I hope you can help me to solve this problem.
What must be the value of x to make this expression not rational or the denominator is equal to zero?
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exam Other Question

Six times the sum of a number and -15 is 76 more than four times the number. Find the number. (show your work)
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Please help!

Solve the following equation for x:

10x^2=9x+9

thanks,

Lackinmath