(2x^2+mx-3)=0

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Solution for (2x^2+mx-3)=0 equation:


Simplifying
(2x2 + mx + -3) = 0

Reorder the terms:
(-3 + mx + 2x2) = 0

Remove parenthesis around (-3 + mx + 2x2)
-3 + mx + 2x2 = 0

Solving
-3 + mx + 2x2 = 0

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 = 0 + 3

Reorder the terms:
-3 + 3 + mx + 2x2 = 0 + 3

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

Combine like terms: 0 + 3 = 3
mx + 2x2 = 3

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

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

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

Simplifying
m = 3x-1 + -2x

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