Question

Solve: 48x(x+14) = 4(x+14)^2

Answer 1

$48x(x+14) = 4(x+14)^2\\48x^2+672x=4(x^2+28x+196)\\48x^2+672x=4x^2+112x+784\\44x^2+560x-784=0\\4(11x^2+140x-196)=0\\11x^2+140x-196=0\\11x^2-14x+154x-196=0\\x(11x-14)+14(11x-14)=0\\(x+14)(11x-14)=0\\x+14=0 \vee 11x-14=0\\x=-14 \vee x=\dfrac{14}{11}$