(m-1)x^2+3mx-5m+c=0

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Solution for (m-1)x^2+3mx-5m+c=0 equation: 


Simplifying
(m + -1) * x2 + 3mx + -5m + c = 0

Reorder the terms:
(-1 + m) * x2 + 3mx + -5m + c = 0

Reorder the terms for easier multiplication:
x2(-1 + m) + 3mx + -5m + c = 0
(-1 * x2 + m * x2) + 3mx + -5m + c = 0

Reorder the terms:
(mx2 + -1x2) + 3mx + -5m + c = 0
(mx2 + -1x2) + 3mx + -5m + c = 0

Reorder the terms:
c + -5m + 3mx + mx2 + -1x2 = 0

Solving
c + -5m + 3mx + mx2 + -1x2 = 0

Solving for variable 'c'.

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

Add '5m' to each side of the equation.
c + -5m + 3mx + mx2 + 5m + -1x2 = 0 + 5m

Reorder the terms:
c + -5m + 5m + 3mx + mx2 + -1x2 = 0 + 5m

Combine like terms: -5m + 5m = 0
c + 0 + 3mx + mx2 + -1x2 = 0 + 5m
c + 3mx + mx2 + -1x2 = 0 + 5m
Remove the zero:
c + 3mx + mx2 + -1x2 = 5m

Add '-3mx' to each side of the equation.
c + 3mx + mx2 + -3mx + -1x2 = 5m + -3mx

Reorder the terms:
c + 3mx + -3mx + mx2 + -1x2 = 5m + -3mx

Combine like terms: 3mx + -3mx = 0
c + 0 + mx2 + -1x2 = 5m + -3mx
c + mx2 + -1x2 = 5m + -3mx

Add '-1mx2' to each side of the equation.
c + mx2 + -1mx2 + -1x2 = 5m + -3mx + -1mx2

Combine like terms: mx2 + -1mx2 = 0
c + 0 + -1x2 = 5m + -3mx + -1mx2
c + -1x2 = 5m + -3mx + -1mx2

Add 'x2' to each side of the equation.
c + -1x2 + x2 = 5m + -3mx + -1mx2 + x2

Combine like terms: -1x2 + x2 = 0
c + 0 = 5m + -3mx + -1mx2 + x2
c = 5m + -3mx + -1mx2 + x2

Simplifying
c = 5m + -3mx + -1mx2 + x2

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