Exercise algebra.equations.quadratic.no-abc

Description
solve a quadratic equation without abc-formula

Derivation

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

⇒ algebra.equations.coverup.onevar.plus

(6*x-3)^2 == 6

⇒ algebra.equations.coverup.power

6*x-3 == sqrt 6 or 6*x-3 == -sqrt 6

⇒ algebra.equations.coverup.onevar.minus-left

6*x == 3+sqrt 6 or 6*x-3 == -sqrt 6

⇒ algebra.equations.coverup.times

x == (3+sqrt 6)/6 or 6*x-3 == -sqrt 6

⇒ algebra.equations.coverup.onevar.minus-left

x == (3+sqrt 6)/6 or 6*x == 3-sqrt 6

⇒ algebra.equations.coverup.times

x == (3+sqrt 6)/6 or x == (3-sqrt 6)/6

⇒ algebra.equations.quadratic.distr-div

x == 1/2+sqrt 6/6 or x == 1/2-sqrt 6/6