(2m-1)x^2+(1+m)x+1a=2

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


Simplifying
(2m + -1) * x2 + (1 + m) * x + 1a = 2

Reorder the terms:
(-1 + 2m) * x2 + (1 + m) * x + 1a = 2

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

Reorder the terms:
(2mx2 + -1x2) + (1 + m) * x + 1a = 2
(2mx2 + -1x2) + (1 + m) * x + 1a = 2

Reorder the terms for easier multiplication:
2mx2 + -1x2 + x(1 + m) + 1a = 2
2mx2 + -1x2 + (1 * x + m * x) + 1a = 2

Reorder the terms:
2mx2 + -1x2 + (mx + 1x) + 1a = 2
2mx2 + -1x2 + (mx + 1x) + 1a = 2

Reorder the terms:
1a + mx + 2mx2 + 1x + -1x2 = 2

Solving
1a + mx + 2mx2 + 1x + -1x2 = 2

Solving for variable 'a'.

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

Add '-1mx' to each side of the equation.
1a + mx + 2mx2 + 1x + -1mx + -1x2 = 2 + -1mx

Reorder the terms:
1a + mx + -1mx + 2mx2 + 1x + -1x2 = 2 + -1mx

Combine like terms: mx + -1mx = 0
1a + 0 + 2mx2 + 1x + -1x2 = 2 + -1mx
1a + 2mx2 + 1x + -1x2 = 2 + -1mx

Add '-2mx2' to each side of the equation.
1a + 2mx2 + 1x + -2mx2 + -1x2 = 2 + -1mx + -2mx2

Reorder the terms:
1a + 2mx2 + -2mx2 + 1x + -1x2 = 2 + -1mx + -2mx2

Combine like terms: 2mx2 + -2mx2 = 0
1a + 0 + 1x + -1x2 = 2 + -1mx + -2mx2
1a + 1x + -1x2 = 2 + -1mx + -2mx2

Add '-1x' to each side of the equation.
1a + 1x + -1x + -1x2 = 2 + -1mx + -2mx2 + -1x

Combine like terms: 1x + -1x = 0
1a + 0 + -1x2 = 2 + -1mx + -2mx2 + -1x
1a + -1x2 = 2 + -1mx + -2mx2 + -1x

Add 'x2' to each side of the equation.
1a + -1x2 + x2 = 2 + -1mx + -2mx2 + -1x + x2

Combine like terms: -1x2 + x2 = 0
1a + 0 = 2 + -1mx + -2mx2 + -1x + x2
1a = 2 + -1mx + -2mx2 + -1x + x2

Divide each side by '1'.
a = 2 + -1mx + -2mx2 + -1x + x2

Simplifying
a = 2 + -1mx + -2mx2 + -1x + x2

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