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

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

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

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

Reorder the terms:
-3a + 3a2 = 2a(-2 + a) + -1(3 + -1a(a))
-3a + 3a2 = (-2 * 2a + a * 2a) + -1(3 + -1a(a))
-3a + 3a2 = (-4a + 2a2) + -1(3 + -1a(a))

Multiply a * a
-3a + 3a2 = -4a + 2a2 + -1(3 + -1a2)
-3a + 3a2 = -4a + 2a2 + (3 * -1 + -1a2 * -1)
-3a + 3a2 = -4a + 2a2 + (-3 + 1a2)

Reorder the terms:
-3a + 3a2 = -3 + -4a + 2a2 + 1a2

Combine like terms: 2a2 + 1a2 = 3a2
-3a + 3a2 = -3 + -4a + 3a2

Add '-3a2' to each side of the equation.
-3a + 3a2 + -3a2 = -3 + -4a + 3a2 + -3a2

Combine like terms: 3a2 + -3a2 = 0
-3a + 0 = -3 + -4a + 3a2 + -3a2
-3a = -3 + -4a + 3a2 + -3a2

Combine like terms: 3a2 + -3a2 = 0
-3a = -3 + -4a + 0
-3a = -3 + -4a

Solving
-3a = -3 + -4a

Solving for variable 'a'.

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

Add '4a' to each side of the equation.
-3a + 4a = -3 + -4a + 4a

Combine like terms: -3a + 4a = 1a
1a = -3 + -4a + 4a

Combine like terms: -4a + 4a = 0
1a = -3 + 0
1a = -3

Divide each side by '1'.
a = -3

Simplifying
a = -3