(m-1)*x^2-6x=1

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Solution for (m-1)*x^2-6x=1 equation: 


Simplifying
(m + -1) * x2 + -6x = 1

Reorder the terms:
(-1 + m) * x2 + -6x = 1

Reorder the terms for easier multiplication:
x2(-1 + m) + -6x = 1
(-1 * x2 + m * x2) + -6x = 1

Reorder the terms:
(mx2 + -1x2) + -6x = 1
(mx2 + -1x2) + -6x = 1

Reorder the terms:
mx2 + -6x + -1x2 = 1

Solving
mx2 + -6x + -1x2 = 1

Solving for variable 'm'.

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

Add '6x' to each side of the equation.
mx2 + -6x + 6x + -1x2 = 1 + 6x

Combine like terms: -6x + 6x = 0
mx2 + 0 + -1x2 = 1 + 6x
mx2 + -1x2 = 1 + 6x

Add 'x2' to each side of the equation.
mx2 + -1x2 + x2 = 1 + 6x + x2

Combine like terms: -1x2 + x2 = 0
mx2 + 0 = 1 + 6x + x2
mx2 = 1 + 6x + x2

Divide each side by 'x2'.
m = x-2 + 6x-1 + 1

Simplifying
m = x-2 + 6x-1 + 1

Reorder the terms:
m = 1 + x-2 + 6x-1

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