exam Maths Puzzle Numerical Ability

In the drawing line AX bisects angle BAC; triangle ABC is isosceles; m(angle BCA)=72 degrees, find BX

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Please help factor, this one, I find very difficult. thanks!

(t^2+2)^2+4(t^2+2)-32
the sum of three numbers is 20.The second number is 4 times the first, and the sum of the first and third is 8. find the number