SOLUTION: I need help to solve the following for x: {{{ p^2(1-x)-2pqx=q^2(1+x)}}} With working out, please

Question 1066867: I need help to solve the following for x:
With working out, please

Found 2 solutions by josgarithmetic, math_helper:
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
Simplify and isolate terms of x.

Multiplication both sides negative 1:

Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
Since we want to solve for 'x', its best to get all the terms involving x onto one side:

Now bring all 'x' related terms to the left, and everything else to the right:

Multiply both sides by -1, this has the effect of changing the left to all +, and swaps the signs on the right:

Not done yet, there is further simplification:
Numerator:
Denominator:
So
Canceling a "p+q" from numerator and denominator:

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