(m-1)x^2-4X+m+1=0

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Solution for (m-1)x^2-4X+m+1=0 equation:


Simplifying
(m + -1) * x2 + -4X + m + 1 = 0

Reorder the terms:
(-1 + m) * x2 + -4X + m + 1 = 0

Reorder the terms for easier multiplication:
x2(-1 + m) + -4X + m + 1 = 0
(-1 * x2 + m * x2) + -4X + m + 1 = 0

Reorder the terms:
(mx2 + -1x2) + -4X + m + 1 = 0
(mx2 + -1x2) + -4X + m + 1 = 0

Reorder the terms:
1 + -4X + m + mx2 + -1x2 = 0

Solving
1 + -4X + m + mx2 + -1x2 = 0

Solving for variable 'X'.

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

Add '-1' to each side of the equation.
1 + -4X + m + mx2 + -1 + -1x2 = 0 + -1

Reorder the terms:
1 + -1 + -4X + m + mx2 + -1x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4X + m + mx2 + -1x2 = 0 + -1
-4X + m + mx2 + -1x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-4X + m + mx2 + -1x2 = -1

Add '-1m' to each side of the equation.
-4X + m + mx2 + -1m + -1x2 = -1 + -1m

Reorder the terms:
-4X + m + -1m + mx2 + -1x2 = -1 + -1m

Combine like terms: m + -1m = 0
-4X + 0 + mx2 + -1x2 = -1 + -1m
-4X + mx2 + -1x2 = -1 + -1m

Add '-1mx2' to each side of the equation.
-4X + mx2 + -1mx2 + -1x2 = -1 + -1m + -1mx2

Combine like terms: mx2 + -1mx2 = 0
-4X + 0 + -1x2 = -1 + -1m + -1mx2
-4X + -1x2 = -1 + -1m + -1mx2

Add 'x2' to each side of the equation.
-4X + -1x2 + x2 = -1 + -1m + -1mx2 + x2

Combine like terms: -1x2 + x2 = 0
-4X + 0 = -1 + -1m + -1mx2 + x2
-4X = -1 + -1m + -1mx2 + x2

Divide each side by '-4'.
X = 0.25 + 0.25m + 0.25mx2 + -0.25x2

Simplifying
X = 0.25 + 0.25m + 0.25mx2 + -0.25x2

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