3-2a(a-1)=a(3-2a)-(2a-3)

Solution for 3-2a(a-1)=a(3-2a)-(2a-3) equation:

Simplifying
3 + -2a(a + -1) = a(3 + -2a) + -1(2a + -3)

Reorder the terms:
3 + -2a(-1 + a) = a(3 + -2a) + -1(2a + -3)
3 + (-1 * -2a + a * -2a) = a(3 + -2a) + -1(2a + -3)
3 + (2a + -2a2) = a(3 + -2a) + -1(2a + -3)
3 + 2a + -2a2 = (3 * a + -2a * a) + -1(2a + -3)
3 + 2a + -2a2 = (3a + -2a2) + -1(2a + -3)

Reorder the terms:
3 + 2a + -2a2 = 3a + -2a2 + -1(-3 + 2a)
3 + 2a + -2a2 = 3a + -2a2 + (-3 * -1 + 2a * -1)
3 + 2a + -2a2 = 3a + -2a2 + (3 + -2a)

Reorder the terms:
3 + 2a + -2a2 = 3 + 3a + -2a + -2a2

Combine like terms: 3a + -2a = 1a
3 + 2a + -2a2 = 3 + 1a + -2a2

Add '-3' to each side of the equation.
3 + 2a + -3 + -2a2 = 3 + 1a + -3 + -2a2

Reorder the terms:
3 + -3 + 2a + -2a2 = 3 + 1a + -3 + -2a2

Combine like terms: 3 + -3 = 0
0 + 2a + -2a2 = 3 + 1a + -3 + -2a2
2a + -2a2 = 3 + 1a + -3 + -2a2

Reorder the terms:
2a + -2a2 = 3 + -3 + 1a + -2a2

Combine like terms: 3 + -3 = 0
2a + -2a2 = 0 + 1a + -2a2
2a + -2a2 = 1a + -2a2

Add '2a2' to each side of the equation.
2a + -2a2 + 2a2 = 1a + -2a2 + 2a2

Combine like terms: -2a2 + 2a2 = 0
2a + 0 = 1a + -2a2 + 2a2
2a = 1a + -2a2 + 2a2

Combine like terms: -2a2 + 2a2 = 0
2a = 1a + 0
2a = 1a

Solving
2a = 1a

Solving for variable 'a'.

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

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

Combine like terms: 2a + -1a = 1a
1a = 1a + -1a

Combine like terms: 1a + -1a = 0
1a = 0

Divide each side by '1'.
a = 0

Simplifying
a = 0