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

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


Simplifying
mx2 + mx + -1 = 3x2 + (m + -4) * x + (3 + -2m)

Reorder the terms:
-1 + mx + mx2 = 3x2 + (m + -4) * x + (3 + -2m)

Reorder the terms:
-1 + mx + mx2 = 3x2 + (-4 + m) * x + (3 + -2m)

Reorder the terms for easier multiplication:
-1 + mx + mx2 = 3x2 + x(-4 + m) + (3 + -2m)
-1 + mx + mx2 = 3x2 + (-4 * x + m * x) + (3 + -2m)

Reorder the terms:
-1 + mx + mx2 = 3x2 + (mx + -4x) + (3 + -2m)
-1 + mx + mx2 = 3x2 + (mx + -4x) + (3 + -2m)

Remove parenthesis around (3 + -2m)
-1 + mx + mx2 = 3x2 + mx + -4x + 3 + -2m

Reorder the terms:
-1 + mx + mx2 = 3 + -2m + mx + -4x + 3x2

Add '-1mx' to each side of the equation.
-1 + mx + -1mx + mx2 = 3 + -2m + mx + -4x + -1mx + 3x2

Combine like terms: mx + -1mx = 0
-1 + 0 + mx2 = 3 + -2m + mx + -4x + -1mx + 3x2
-1 + mx2 = 3 + -2m + mx + -4x + -1mx + 3x2

Reorder the terms:
-1 + mx2 = 3 + -2m + mx + -1mx + -4x + 3x2

Combine like terms: mx + -1mx = 0
-1 + mx2 = 3 + -2m + 0 + -4x + 3x2
-1 + mx2 = 3 + -2m + -4x + 3x2

Solving
-1 + mx2 = 3 + -2m + -4x + 3x2

Solving for variable 'm'.

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

Add '2m' to each side of the equation.
-1 + 2m + mx2 = 3 + -2m + -4x + 2m + 3x2

Reorder the terms:
-1 + 2m + mx2 = 3 + -2m + 2m + -4x + 3x2

Combine like terms: -2m + 2m = 0
-1 + 2m + mx2 = 3 + 0 + -4x + 3x2
-1 + 2m + mx2 = 3 + -4x + 3x2

Add '1' to each side of the equation.
-1 + 2m + 1 + mx2 = 3 + -4x + 1 + 3x2

Reorder the terms:
-1 + 1 + 2m + mx2 = 3 + -4x + 1 + 3x2

Combine like terms: -1 + 1 = 0
0 + 2m + mx2 = 3 + -4x + 1 + 3x2
2m + mx2 = 3 + -4x + 1 + 3x2

Reorder the terms:
2m + mx2 = 3 + 1 + -4x + 3x2

Combine like terms: 3 + 1 = 4
2m + mx2 = 4 + -4x + 3x2

Reorder the terms:
-4 + 2m + mx2 + 4x + -3x2 = 4 + -4x + 3x2 + -4 + 4x + -3x2

Reorder the terms:
-4 + 2m + mx2 + 4x + -3x2 = 4 + -4 + -4x + 4x + 3x2 + -3x2

Combine like terms: 4 + -4 = 0
-4 + 2m + mx2 + 4x + -3x2 = 0 + -4x + 4x + 3x2 + -3x2
-4 + 2m + mx2 + 4x + -3x2 = -4x + 4x + 3x2 + -3x2

Combine like terms: -4x + 4x = 0
-4 + 2m + mx2 + 4x + -3x2 = 0 + 3x2 + -3x2
-4 + 2m + mx2 + 4x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-4 + 2m + mx2 + 4x + -3x2 = 0

The solution to this equation could not be determined.

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