(8x2)-(13x-16)= -78
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6x^2 -13x+6 = (3x-2)(2x-3) when factorized
-6 = 3 x -2 13 = 5 x 3 - 2 → 5x² + 13x - 6 = (5x - 2)(x + 3)
5x-13x+6=0 5x-13x=-6 -8x=-6 -8x/-8=-6/-8 x = 3/4
x + 13x + 10x = 50 - 6
42 + x2 = 13x ∴ x2 - 13x + 42 = 0 ∴ (x - 6)(x - 7) = 0 ∴ x ∈ {6, 7}