Question

(x-3)(32-x)=210 solve by factorization method

Answer 1

$32x - x ^{2} - 96 + 3x = 210$
$35x - {x}^{2} - 96 = 210$
${x}^{2} - 35x + 306 = 0$
${x}^{2} - 18x - 17x + 306 = 0$
$x(x - 18) - 17(x - 18) = 0$
$(x - 17)(x - 18) = 0$
x = 17 , 18