2x^2+3ax-2=x-2

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Solution for 2x^2+3ax-2=x-2 equation:


Simplifying
2x2 + 3ax + -2 = x + -2

Reorder the terms:
-2 + 3ax + 2x2 = x + -2

Reorder the terms:
-2 + 3ax + 2x2 = -2 + x

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

Reorder the terms:
-2 + 2 + 3ax + 2x2 = -2 + 2 + x

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

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

Solving
3ax + 2x2 = x

Solving for variable 'a'.

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

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

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

Divide each side by '3x'.
a = 0.3333333333 + -0.6666666667x

Simplifying
a = 0.3333333333 + -0.6666666667x

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