(3× -4)(2× + 7=show your solution
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(3× -4)(2× + 7=show your solution
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Answer:
6 x^2 + 13 x - 28 = 0
Step-by-step explanation:
Expand the following:
(2 x + 7) (3 x - 4)
(2 x + 7) (3 x - 4) = (2 x) (3 x) + (2 x) (-4) + (7) (3 x) + (7) (-4):
2 3 x x + 7 3 x - 4 2 x - 4 7
2 x×3 x = 2 x^2×3:
2×3 x^2 + 7 3 x - 4 2 x - 4 7
2×3 = 6:
6 x^2 + 7 3 x - 4 2 x - 4 7
-4×2 = -8:
6 x^2 + 7 3 x + -8 x - 4 7
7×3 = 21:
6 x^2 + 21 x - 8 x - 4 7
-4×7 = -28:
6 x^2 + 21 x - 8 x + -28
Grouping like terms, 6 x^2 + 21 x - 8 x - 28 = 6 x^2 + (-8 x + 21 x) - 28:
6 x^2 + (-8 x + 21 x) - 28
21 x - 8 x = 13 x:
Answer:
6 x^2 + 13 x - 28 = 0