6x² = 7xy + 20y² where x ˃ 0 and y ˃ 0
Find the ratio x : y

Step by Step Solution
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STEP
1
:
Equation at the end of step 1

((6 • (x2)) - 7xy) - (22•5y2)
STEP
2
:

Equation at the end of step
2
:

((2•3x2) - 7xy) - (22•5y2)
STEP
3
:
Trying to factor a multi variable polynomial

3.1 Factoring 6x2 - 7xy - 20y2

Try to factor this multi-variable trinomial using trial and error

Found a factorization : (2x - 5y)•(3x + 4y)

Final result :
(2x - 5y) • (3x + 4y)

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