3x^2-14x=5

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Move all terms to one sides

3x^2 - 14x - 5 = 0

Split the second term in 3x^2 - 14x - 5 into two terms

3x^2 + x - 15x - 5 = 0

Factor out the common terms in the first two terms, then in the last two terms;

x (3x + 1) - 5 (3x + 1) = 0

Factor out the common term 3x + 1

(3x + 1) (x - 5) = 0

Solve for x;

x = - 1/3, 5