SOLUTION: If 45x^2 - 4x + c = (9x + 10)(ax + b), what is the value of c?

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Question 1089865: If 45x^2 - 4x + c = (9x + 10)(ax + b), what is the value of c?
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
45x%5E2-4x%2Bc=9ax%5E2%2B9xb%2B10ax%2B10b
leftside=9ax%5E2%2B%289b%2B10a%29x%2B10b
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Corresponding Coefficients: system%289b%2B10a=-4%2C10b=c%2C9a=45%29

a=5
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9b%2B10a=-4
9b%2B50=-4
9b=-54
b=-6
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10b=c
10%28-6%29=c
highlight%28c=-60%29