(2a+1)x^2-ax+a-2=0

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Solution for (2a+1)x^2-ax+a-2=0 equation:


Simplifying
(2a + 1) * x2 + -1ax + a + -2 = 0

Reorder the terms:
(1 + 2a) * x2 + -1ax + a + -2 = 0

Reorder the terms for easier multiplication:
x2(1 + 2a) + -1ax + a + -2 = 0
(1 * x2 + 2a * x2) + -1ax + a + -2 = 0

Reorder the terms:
(2ax2 + 1x2) + -1ax + a + -2 = 0
(2ax2 + 1x2) + -1ax + a + -2 = 0

Reorder the terms:
-2 + a + -1ax + 2ax2 + 1x2 = 0

Solving
-2 + a + -1ax + 2ax2 + 1x2 = 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 + a + -1ax + 2ax2 + 2 + 1x2 = 0 + 2

Reorder the terms:
-2 + 2 + a + -1ax + 2ax2 + 1x2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + a + -1ax + 2ax2 + 1x2 = 0 + 2
a + -1ax + 2ax2 + 1x2 = 0 + 2

Combine like terms: 0 + 2 = 2
a + -1ax + 2ax2 + 1x2 = 2

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

Combine like terms: 1x2 + -1x2 = 0
a + -1ax + 2ax2 + 0 = 2 + -1x2
a + -1ax + 2ax2 = 2 + -1x2

Reorder the terms:
-2 + a + -1ax + 2ax2 + x2 = 2 + -1x2 + -2 + x2

Reorder the terms:
-2 + a + -1ax + 2ax2 + x2 = 2 + -2 + -1x2 + x2

Combine like terms: 2 + -2 = 0
-2 + a + -1ax + 2ax2 + x2 = 0 + -1x2 + x2
-2 + a + -1ax + 2ax2 + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-2 + a + -1ax + 2ax2 + x2 = 0

The solution to this equation could not be determined.

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