(a-2)(a+4)+6=a^2-2a+3

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Solution for (a-2)(a+4)+6=a^2-2a+3 equation: 


Simplifying
(a + -2)(a + 4) + 6 = a2 + -2a + 3

Reorder the terms:
(-2 + a)(a + 4) + 6 = a2 + -2a + 3

Reorder the terms:
(-2 + a)(4 + a) + 6 = a2 + -2a + 3

Multiply (-2 + a) * (4 + a)
(-2(4 + a) + a(4 + a)) + 6 = a2 + -2a + 3
((4 * -2 + a * -2) + a(4 + a)) + 6 = a2 + -2a + 3
((-8 + -2a) + a(4 + a)) + 6 = a2 + -2a + 3
(-8 + -2a + (4 * a + a * a)) + 6 = a2 + -2a + 3
(-8 + -2a + (4a + a2)) + 6 = a2 + -2a + 3

Combine like terms: -2a + 4a = 2a
(-8 + 2a + a2) + 6 = a2 + -2a + 3

Reorder the terms:
-8 + 6 + 2a + a2 = a2 + -2a + 3

Combine like terms: -8 + 6 = -2
-2 + 2a + a2 = a2 + -2a + 3

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

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

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

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

Solving
-2 + 2a = 3 + -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.
-2 + 2a + 2a = 3 + -2a + 2a

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

Combine like terms: -2a + 2a = 0
-2 + 4a = 3 + 0
-2 + 4a = 3

Add '2' to each side of the equation.
-2 + 2 + 4a = 3 + 2

Combine like terms: -2 + 2 = 0
0 + 4a = 3 + 2
4a = 3 + 2

Combine like terms: 3 + 2 = 5
4a = 5

Divide each side by '4'.
a = 1.25

Simplifying
a = 1.25

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