a=(9x+2)(9x+2)+(10x-2)(10x-2)

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Solution for a=(9x+2)(9x+2)+(10x-2)(10x-2) equation: 


Simplifying
a = (9x + 2)(9x + 2) + (10x + -2)(10x + -2)

Reorder the terms:
a = (2 + 9x)(9x + 2) + (10x + -2)(10x + -2)

Reorder the terms:
a = (2 + 9x)(2 + 9x) + (10x + -2)(10x + -2)

Multiply (2 + 9x) * (2 + 9x)
a = (2(2 + 9x) + 9x * (2 + 9x)) + (10x + -2)(10x + -2)
a = ((2 * 2 + 9x * 2) + 9x * (2 + 9x)) + (10x + -2)(10x + -2)
a = ((4 + 18x) + 9x * (2 + 9x)) + (10x + -2)(10x + -2)
a = (4 + 18x + (2 * 9x + 9x * 9x)) + (10x + -2)(10x + -2)
a = (4 + 18x + (18x + 81x2)) + (10x + -2)(10x + -2)

Combine like terms: 18x + 18x = 36x
a = (4 + 36x + 81x2) + (10x + -2)(10x + -2)

Reorder the terms:
a = 4 + 36x + 81x2 + (-2 + 10x)(10x + -2)

Reorder the terms:
a = 4 + 36x + 81x2 + (-2 + 10x)(-2 + 10x)

Multiply (-2 + 10x) * (-2 + 10x)
a = 4 + 36x + 81x2 + (-2(-2 + 10x) + 10x * (-2 + 10x))
a = 4 + 36x + 81x2 + ((-2 * -2 + 10x * -2) + 10x * (-2 + 10x))
a = 4 + 36x + 81x2 + ((4 + -20x) + 10x * (-2 + 10x))
a = 4 + 36x + 81x2 + (4 + -20x + (-2 * 10x + 10x * 10x))
a = 4 + 36x + 81x2 + (4 + -20x + (-20x + 100x2))

Combine like terms: -20x + -20x = -40x
a = 4 + 36x + 81x2 + (4 + -40x + 100x2)

Reorder the terms:
a = 4 + 4 + 36x + -40x + 81x2 + 100x2

Combine like terms: 4 + 4 = 8
a = 8 + 36x + -40x + 81x2 + 100x2

Combine like terms: 36x + -40x = -4x
a = 8 + -4x + 81x2 + 100x2

Combine like terms: 81x2 + 100x2 = 181x2
a = 8 + -4x + 181x2

Solving
a = 8 + -4x + 181x2

Solving for variable 'a'.

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

Simplifying
a = 8 + -4x + 181x2

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