Exercise algebra.equations.quadratic.no-abc

Description
solve a quadratic equation without abc-formula

Derivation

3*(x-2)*(x+6) == 12*x

⇒ algebra.equations.quadratic.same-con-factor

(x-2)*(x+6) == 4*x

⇒ algebra.equations.linear.distr-times

x^2+4*x-12 == 4*x

⇒ algebra.equations.quadratic.cancel

x^2-12 == 0

⇒ algebra.equations.quadratic.no-lin

x^2 == 12

⇒ algebra.equations.coverup.power

x == sqrt 12 or x == -sqrt 12

⇒ algebra.equations.quadratic.simpler-sqrt

x == 2*sqrt 3 or x == -2*sqrt 3