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Answer:
(x-5) (2x + 3) = 7
(use the FOIL Method)
Firsts: x•2x = 2x²
Outer: x•3 = 3x
Inner: -5•2x = -10x
Last: -5•3 = -15
combined them:
2x² + 3x - 10x -15 = 7
there is 2 linear term you need to subtract them:
2x² -7x -22 = 7
Transpose the seven into a constant so it will be equal to zero(it will change sign)
2x² -7x -22 -7 = 0
there is 2 constant term you need to subtract them
-22-7=-29
the final answer is:
2x² -7x -29 = 0 > standard form
a=2 b=-7 c=-29