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Write equation as you read the problem
-10x^2 + 160x - 430 = 50.
Collect all the terms in the left side
-10x^2 + 160x - 430 - 50 = 0.
Combine like terms
-10x^2 + 160x - 480 = 0.
Divide all the terms by 10 (take off one zero symbol from all three terms)
-x^2 + 16x - 48 = 0.
Change the sign in all terms on the left, for convenience
x^2 - 16x + 48 = 0.
Factor left side
(x-12)*(x-4) = 0.
The roots are 4 and 12.
So, x= 4 and x= 12 are two solutions to your problem. ANSWER
Solved.
