ax^2+3x-2=0

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


Simplifying
ax2 + 3x + -2 = 0

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

Solving
-2 + ax2 + 3x = 0

Solving for variable 'a'.

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

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

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

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

Combine like terms: 0 + 2 = 2
ax2 + 3x = 2

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

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

Divide each side by 'x2'.
a = 2x-2 + -3x-1

Simplifying
a = 2x-2 + -3x-1

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