4=a(a-2)(3-4)

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Solution for 4=a(a-2)(3-4) equation:


Simplifying
4 = a(a + -2)(3 + -4)

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

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

Reorder the terms for easier multiplication:
4 = -1a(-2 + a)
4 = (-2 * -1a + a * -1a)
4 = (2a + -1a2)

Solving
4 = 2a + -1a2

Solving for variable 'a'.

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

Combine like terms: 2a + -2a = 0
4 + -2a + a2 = 0 + -1a2 + a2
4 + -2a + a2 = -1a2 + a2

Combine like terms: -1a2 + a2 = 0
4 + -2a + a2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -2a + -4 + a2 = 0 + -4

Reorder the terms:
4 + -4 + -2a + a2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -2a + a2 = 0 + -4
-2a + a2 = 0 + -4

Combine like terms: 0 + -4 = -4
-2a + a2 = -4

The a term is -2a.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2a + 1 + a2 = -4 + 1

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

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

Factor a perfect square on the left side:
(a + -1)(a + -1) = -3

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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