(x-q)(x-r)=0

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Solution for (x-q)(x-r)=0 equation:


Simplifying
(x + -1q)(x + -1r) = 0

Reorder the terms:
(-1q + x)(x + -1r) = 0

Reorder the terms:
(-1q + x)(-1r + x) = 0

Multiply (-1q + x) * (-1r + x)
(-1q * (-1r + x) + x(-1r + x)) = 0
((-1r * -1q + x * -1q) + x(-1r + x)) = 0
((1qr + -1qx) + x(-1r + x)) = 0
(1qr + -1qx + (-1r * x + x * x)) = 0
(1qr + -1qx + (-1rx + x2)) = 0
(1qr + -1qx + -1rx + x2) = 0

Solving
1qr + -1qx + -1rx + x2 = 0

Solving for variable 'q'.

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

Add 'rx' to each side of the equation.
1qr + -1qx + -1rx + rx + x2 = 0 + rx

Combine like terms: -1rx + rx = 0
1qr + -1qx + 0 + x2 = 0 + rx
1qr + -1qx + x2 = 0 + rx
Remove the zero:
1qr + -1qx + x2 = rx

Add '-1x2' to each side of the equation.
1qr + -1qx + x2 + -1x2 = rx + -1x2

Combine like terms: x2 + -1x2 = 0
1qr + -1qx + 0 = rx + -1x2
1qr + -1qx = rx + -1x2

Reorder the terms:
1qr + -1qx + -1rx + x2 = rx + -1rx + -1x2 + x2

Combine like terms: rx + -1rx = 0
1qr + -1qx + -1rx + x2 = 0 + -1x2 + x2
1qr + -1qx + -1rx + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
1qr + -1qx + -1rx + x2 = 0

The solution to this equation could not be determined.

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