Question

solve for x:

a2b2x2+b2x -a2x - 1 =0

Answer 1

a²b²x²+b²x-a²x-1 =0
b²x(a²x+1)-1(a²x+1)=0
(b²x-1)(a²x+1)=0
if b²x-1=0
b²x=1
x=1/b²
if a²x+1=0
a²x=-1
x=-1/a²

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Answer 2

Solution is in the given attachment.

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Let's see some related terms ;

Factorisation : It is the term that means to differ the factors of a given expression.

Linear equations in two variables :

▪️A linear equation in two variables has infinitely many solutions.

▪️Standard form of a linear equation in two variables is « ax + by + c = 0 », where a and b are coefficients of x and y respectively and she is a constant.

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