3x^2-(3m+1)x+m=0

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Solution for 3x^2-(3m+1)x+m=0 equation:


Simplifying
3x2 + -1(3m + 1) * x + m = 0

Reorder the terms:
3x2 + -1(1 + 3m) * x + m = 0

Reorder the terms for easier multiplication:
3x2 + -1x(1 + 3m) + m = 0
3x2 + (1 * -1x + 3m * -1x) + m = 0

Reorder the terms:
3x2 + (-3mx + -1x) + m = 0
3x2 + (-3mx + -1x) + m = 0

Reorder the terms:
m + -3mx + -1x + 3x2 = 0

Solving
m + -3mx + -1x + 3x2 = 0

Solving for variable 'm'.

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

Add 'x' to each side of the equation.
m + -3mx + -1x + x + 3x2 = 0 + x

Combine like terms: -1x + x = 0
m + -3mx + 0 + 3x2 = 0 + x
m + -3mx + 3x2 = 0 + x
Remove the zero:
m + -3mx + 3x2 = x

Add '-3x2' to each side of the equation.
m + -3mx + 3x2 + -3x2 = x + -3x2

Combine like terms: 3x2 + -3x2 = 0
m + -3mx + 0 = x + -3x2
m + -3mx = x + -3x2

Reorder the terms:
m + -3mx + -1x + 3x2 = x + -1x + -3x2 + 3x2

Combine like terms: x + -1x = 0
m + -3mx + -1x + 3x2 = 0 + -3x2 + 3x2
m + -3mx + -1x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
m + -3mx + -1x + 3x2 = 0

The solution to this equation could not be determined.

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