(m-1)x^2+3x-4=0

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Solution for (m-1)x^2+3x-4=0 equation:


Simplifying
(m + -1) * x2 + 3x + -4 = 0

Reorder the terms:
(-1 + m) * x2 + 3x + -4 = 0

Reorder the terms for easier multiplication:
x2(-1 + m) + 3x + -4 = 0
(-1 * x2 + m * x2) + 3x + -4 = 0

Reorder the terms:
(mx2 + -1x2) + 3x + -4 = 0
(mx2 + -1x2) + 3x + -4 = 0

Reorder the terms:
-4 + mx2 + 3x + -1x2 = 0

Solving
-4 + mx2 + 3x + -1x2 = 0

Solving for variable 'm'.

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

Add '4' to each side of the equation.
-4 + mx2 + 3x + 4 + -1x2 = 0 + 4

Reorder the terms:
-4 + 4 + mx2 + 3x + -1x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + mx2 + 3x + -1x2 = 0 + 4
mx2 + 3x + -1x2 = 0 + 4

Combine like terms: 0 + 4 = 4
mx2 + 3x + -1x2 = 4

Add '-3x' to each side of the equation.
mx2 + 3x + -3x + -1x2 = 4 + -3x

Combine like terms: 3x + -3x = 0
mx2 + 0 + -1x2 = 4 + -3x
mx2 + -1x2 = 4 + -3x

Add 'x2' to each side of the equation.
mx2 + -1x2 + x2 = 4 + -3x + x2

Combine like terms: -1x2 + x2 = 0
mx2 + 0 = 4 + -3x + x2
mx2 = 4 + -3x + x2

Divide each side by 'x2'.
m = 4x-2 + -3x-1 + 1

Simplifying
m = 4x-2 + -3x-1 + 1

Reorder the terms:
m = 1 + 4x-2 + -3x-1

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