2x^2+mx+3=x+1

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Solution for 2x^2+mx+3=x+1 equation:


Simplifying
2x2 + mx + 3 = x + 1

Reorder the terms:
3 + mx + 2x2 = x + 1

Reorder the terms:
3 + mx + 2x2 = 1 + x

Solving
3 + mx + 2x2 = 1 + x

Solving for variable 'm'.

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

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

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

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

Combine like terms: 1 + -3 = -2
mx + 2x2 = -2 + x

Add '-2x2' to each side of the equation.
mx + 2x2 + -2x2 = -2 + x + -2x2

Combine like terms: 2x2 + -2x2 = 0
mx + 0 = -2 + x + -2x2
mx = -2 + x + -2x2

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

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

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

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