a=(2x-1)(2x-1)-(3x+5)(2x-1)

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Solution for a=(2x-1)(2x-1)-(3x+5)(2x-1) equation: 


Simplifying
a = (2x + -1)(2x + -1) + -1(3x + 5)(2x + -1)

Reorder the terms:
a = (-1 + 2x)(2x + -1) + -1(3x + 5)(2x + -1)

Reorder the terms:
a = (-1 + 2x)(-1 + 2x) + -1(3x + 5)(2x + -1)

Multiply (-1 + 2x) * (-1 + 2x)
a = (-1(-1 + 2x) + 2x * (-1 + 2x)) + -1(3x + 5)(2x + -1)
a = ((-1 * -1 + 2x * -1) + 2x * (-1 + 2x)) + -1(3x + 5)(2x + -1)
a = ((1 + -2x) + 2x * (-1 + 2x)) + -1(3x + 5)(2x + -1)
a = (1 + -2x + (-1 * 2x + 2x * 2x)) + -1(3x + 5)(2x + -1)
a = (1 + -2x + (-2x + 4x2)) + -1(3x + 5)(2x + -1)

Combine like terms: -2x + -2x = -4x
a = (1 + -4x + 4x2) + -1(3x + 5)(2x + -1)

Reorder the terms:
a = 1 + -4x + 4x2 + -1(5 + 3x)(2x + -1)

Reorder the terms:
a = 1 + -4x + 4x2 + -1(5 + 3x)(-1 + 2x)

Multiply (5 + 3x) * (-1 + 2x)
a = 1 + -4x + 4x2 + -1(5(-1 + 2x) + 3x * (-1 + 2x))
a = 1 + -4x + 4x2 + -1((-1 * 5 + 2x * 5) + 3x * (-1 + 2x))
a = 1 + -4x + 4x2 + -1((-5 + 10x) + 3x * (-1 + 2x))
a = 1 + -4x + 4x2 + -1(-5 + 10x + (-1 * 3x + 2x * 3x))
a = 1 + -4x + 4x2 + -1(-5 + 10x + (-3x + 6x2))

Combine like terms: 10x + -3x = 7x
a = 1 + -4x + 4x2 + -1(-5 + 7x + 6x2)
a = 1 + -4x + 4x2 + (-5 * -1 + 7x * -1 + 6x2 * -1)
a = 1 + -4x + 4x2 + (5 + -7x + -6x2)

Reorder the terms:
a = 1 + 5 + -4x + -7x + 4x2 + -6x2

Combine like terms: 1 + 5 = 6
a = 6 + -4x + -7x + 4x2 + -6x2

Combine like terms: -4x + -7x = -11x
a = 6 + -11x + 4x2 + -6x2

Combine like terms: 4x2 + -6x2 = -2x2
a = 6 + -11x + -2x2

Solving
a = 6 + -11x + -2x2

Solving for variable 'a'.

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

Simplifying
a = 6 + -11x + -2x2

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