Question

solve the following equation by factorisation:x(6x-1)=35​

Answer 1

Step-by-step explanation:

$x(6x - 1) = 35 \\ 6x ^{2} - x = 35 \\ 6x {}^{2} - x - 35 = 0 \\ 6x {}^{2} - 15x + 14x - 35 = 0 \\ 3x(2x - 5) + 7(2x - 5) = 0 \\ (3x + 7)(2x - 5) = 0 \\ 3x + 7 = 0 \: or \: 2x - 5 = 0 \\ 3x = - 7 \: or \: 2x = 5 \\ x = \frac{ - 7}{3} \: or \: x = \frac{5}{2}$

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