Solve by factorisation: x(x-3) = 2(10-x) - Maths - Quadratic Equations

Question

Solve by factorisation: x(x-3) = 2(10-x)

Varun.Rawat · Accepted Answer

xx-3 = 210-x⇒x2 - 3x  = 20 - 2x⇒x2 - x - 20 = 0⇒x2 - 5x + 4x - 20 = 0⇒xx - 5 + 4x - 5 = 0⇒x + 4x - 5 = 0⇒x + 4 = 0   or   x - 5 = 0⇒x = -4     or   x = 5