am^2+bm+c=0

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Solution for am^2+bm+c=0 equation:


Simplifying
am2 + bm + c = 0

Solving
am2 + bm + c = 0

Solving for variable 'a'.

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

Add '-1bm' to each side of the equation.
am2 + bm + -1bm + c = 0 + -1bm

Combine like terms: bm + -1bm = 0
am2 + 0 + c = 0 + -1bm
am2 + c = 0 + -1bm
Remove the zero:
am2 + c = -1bm

Add '-1c' to each side of the equation.
am2 + c + -1c = -1bm + -1c

Combine like terms: c + -1c = 0
am2 + 0 = -1bm + -1c
am2 = -1bm + -1c

Divide each side by 'm2'.
a = -1bm-1 + -1cm-2

Simplifying
a = -1bm-1 + -1cm-2

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