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Answer:
5x^2 -55x +150 = 0
Step-by-step explanation:
A root of p means (x-p) is a factor. So, the factored form of the equation you want is ...
5(x -5)(x -6) = 0
5(x^2 -11x +30) = 0 . . . . . multiplying binomials
5x^2 -55x +150 = 0 . . . . applying the leading coefficient