a(a-3)+5=(a-1)(a-1)

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Solution for a(a-3)+5=(a-1)(a-1) equation: 


Simplifying
a(a + -3) + 5 = (a + -1)(a + -1)

Reorder the terms:
a(-3 + a) + 5 = (a + -1)(a + -1)
(-3 * a + a * a) + 5 = (a + -1)(a + -1)
(-3a + a2) + 5 = (a + -1)(a + -1)

Reorder the terms:
5 + -3a + a2 = (a + -1)(a + -1)

Reorder the terms:
5 + -3a + a2 = (-1 + a)(a + -1)

Reorder the terms:
5 + -3a + a2 = (-1 + a)(-1 + a)

Multiply (-1 + a) * (-1 + a)
5 + -3a + a2 = (-1(-1 + a) + a(-1 + a))
5 + -3a + a2 = ((-1 * -1 + a * -1) + a(-1 + a))
5 + -3a + a2 = ((1 + -1a) + a(-1 + a))
5 + -3a + a2 = (1 + -1a + (-1 * a + a * a))
5 + -3a + a2 = (1 + -1a + (-1a + a2))

Combine like terms: -1a + -1a = -2a
5 + -3a + a2 = (1 + -2a + a2)

Add '-1a2' to each side of the equation.
5 + -3a + a2 + -1a2 = 1 + -2a + a2 + -1a2

Combine like terms: a2 + -1a2 = 0
5 + -3a + 0 = 1 + -2a + a2 + -1a2
5 + -3a = 1 + -2a + a2 + -1a2

Combine like terms: a2 + -1a2 = 0
5 + -3a = 1 + -2a + 0
5 + -3a = 1 + -2a

Solving
5 + -3a = 1 + -2a

Solving for variable 'a'.

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

Add '2a' to each side of the equation.
5 + -3a + 2a = 1 + -2a + 2a

Combine like terms: -3a + 2a = -1a
5 + -1a = 1 + -2a + 2a

Combine like terms: -2a + 2a = 0
5 + -1a = 1 + 0
5 + -1a = 1

Add '-5' to each side of the equation.
5 + -5 + -1a = 1 + -5

Combine like terms: 5 + -5 = 0
0 + -1a = 1 + -5
-1a = 1 + -5

Combine like terms: 1 + -5 = -4
-1a = -4

Divide each side by '-1'.
a = 4

Simplifying
a = 4

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