x^2-2ax^2+3x=0

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Solution for x^2-2ax^2+3x=0 equation:


Simplifying
x2 + -2ax2 + 3x = 0

Reorder the terms:
-2ax2 + 3x + x2 = 0

Solving
-2ax2 + 3x + x2 = 0

Solving for variable 'a'.

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

Add '-3x' to each side of the equation.
-2ax2 + 3x + -3x + x2 = 0 + -3x

Combine like terms: 3x + -3x = 0
-2ax2 + 0 + x2 = 0 + -3x
-2ax2 + x2 = 0 + -3x
Remove the zero:
-2ax2 + x2 = -3x

Add '-1x2' to each side of the equation.
-2ax2 + x2 + -1x2 = -3x + -1x2

Combine like terms: x2 + -1x2 = 0
-2ax2 + 0 = -3x + -1x2
-2ax2 = -3x + -1x2

Divide each side by '-2x2'.
a = 1.5x-1 + 0.5

Simplifying
a = 1.5x-1 + 0.5

Reorder the terms:
a = 0.5 + 1.5x-1

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