(r^2)(x^2)-r(p+q)x+pq=0

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Solution for (r^2)(x^2)-r(p+q)x+pq=0 equation:


Simplifying
(r2)(x2) + -1r(p + q) * x + pq = 0

Multiply r2 * x2
r2x2 + -1r(p + q) * x + pq = 0

Reorder the terms for easier multiplication:
r2x2 + -1r * x(p + q) + pq = 0

Multiply r * x
r2x2 + -1rx(p + q) + pq = 0
r2x2 + (p * -1rx + q * -1rx) + pq = 0
r2x2 + (-1prx + -1qrx) + pq = 0

Reorder the terms:
pq + -1prx + -1qrx + r2x2 = 0

Solving
pq + -1prx + -1qrx + r2x2 = 0

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add 'qrx' to each side of the equation.
pq + -1prx + -1qrx + qrx + r2x2 = 0 + qrx

Combine like terms: -1qrx + qrx = 0
pq + -1prx + 0 + r2x2 = 0 + qrx
pq + -1prx + r2x2 = 0 + qrx
Remove the zero:
pq + -1prx + r2x2 = qrx

Add '-1r2x2' to each side of the equation.
pq + -1prx + r2x2 + -1r2x2 = qrx + -1r2x2

Combine like terms: r2x2 + -1r2x2 = 0
pq + -1prx + 0 = qrx + -1r2x2
pq + -1prx = qrx + -1r2x2

Reorder the terms:
pq + -1prx + -1qrx + r2x2 = qrx + -1qrx + -1r2x2 + r2x2

Combine like terms: qrx + -1qrx = 0
pq + -1prx + -1qrx + r2x2 = 0 + -1r2x2 + r2x2
pq + -1prx + -1qrx + r2x2 = -1r2x2 + r2x2

Combine like terms: -1r2x2 + r2x2 = 0
pq + -1prx + -1qrx + r2x2 = 0

The solution to this equation could not be determined.

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