px^2+rx+m=0

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Solution for px^2+rx+m=0 equation:


Simplifying
px2 + rx + m = 0

Reorder the terms:
m + px2 + rx = 0

Solving
m + px2 + rx = 0

Solving for variable 'm'.

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

Add '-1px2' to each side of the equation.
m + px2 + -1px2 + rx = 0 + -1px2

Combine like terms: px2 + -1px2 = 0
m + 0 + rx = 0 + -1px2
m + rx = 0 + -1px2
Remove the zero:
m + rx = -1px2

Add '-1rx' to each side of the equation.
m + rx + -1rx = -1px2 + -1rx

Combine like terms: rx + -1rx = 0
m + 0 = -1px2 + -1rx
m = -1px2 + -1rx

Simplifying
m = -1px2 + -1rx

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