3*m*x^2+8x+1=0

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Solution for 3*m*x^2+8x+1=0 equation:


Simplifying
3m * x2 + 8x + 1 = 0

Multiply m * x2
3mx2 + 8x + 1 = 0

Reorder the terms:
1 + 3mx2 + 8x = 0

Solving
1 + 3mx2 + 8x = 0

Solving for variable 'm'.

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

Add '-1' to each side of the equation.
1 + 3mx2 + -1 + 8x = 0 + -1

Reorder the terms:
1 + -1 + 3mx2 + 8x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3mx2 + 8x = 0 + -1
3mx2 + 8x = 0 + -1

Combine like terms: 0 + -1 = -1
3mx2 + 8x = -1

Add '-8x' to each side of the equation.
3mx2 + 8x + -8x = -1 + -8x

Combine like terms: 8x + -8x = 0
3mx2 + 0 = -1 + -8x
3mx2 = -1 + -8x

Divide each side by '3x2'.
m = -0.3333333333x-2 + -2.666666667x-1

Simplifying
m = -0.3333333333x-2 + -2.666666667x-1

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