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

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


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

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

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

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

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

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

Combine like terms: -3x + 10x = 7x
a = (-6 + 7x + 5x2)(3 + 2x)(-2 + 3x)

Multiply (-6 + 7x + 5x2) * (3 + 2x)
a = (-6(3 + 2x) + 7x * (3 + 2x) + 5x2 * (3 + 2x))(-2 + 3x)
a = ((3 * -6 + 2x * -6) + 7x * (3 + 2x) + 5x2 * (3 + 2x))(-2 + 3x)
a = ((-18 + -12x) + 7x * (3 + 2x) + 5x2 * (3 + 2x))(-2 + 3x)
a = (-18 + -12x + (3 * 7x + 2x * 7x) + 5x2 * (3 + 2x))(-2 + 3x)
a = (-18 + -12x + (21x + 14x2) + 5x2 * (3 + 2x))(-2 + 3x)
a = (-18 + -12x + 21x + 14x2 + (3 * 5x2 + 2x * 5x2))(-2 + 3x)
a = (-18 + -12x + 21x + 14x2 + (15x2 + 10x3))(-2 + 3x)

Combine like terms: -12x + 21x = 9x
a = (-18 + 9x + 14x2 + 15x2 + 10x3)(-2 + 3x)

Combine like terms: 14x2 + 15x2 = 29x2
a = (-18 + 9x + 29x2 + 10x3)(-2 + 3x)

Multiply (-18 + 9x + 29x2 + 10x3) * (-2 + 3x)
a = (-18(-2 + 3x) + 9x * (-2 + 3x) + 29x2 * (-2 + 3x) + 10x3 * (-2 + 3x))
a = ((-2 * -18 + 3x * -18) + 9x * (-2 + 3x) + 29x2 * (-2 + 3x) + 10x3 * (-2 + 3x))
a = ((36 + -54x) + 9x * (-2 + 3x) + 29x2 * (-2 + 3x) + 10x3 * (-2 + 3x))
a = (36 + -54x + (-2 * 9x + 3x * 9x) + 29x2 * (-2 + 3x) + 10x3 * (-2 + 3x))
a = (36 + -54x + (-18x + 27x2) + 29x2 * (-2 + 3x) + 10x3 * (-2 + 3x))
a = (36 + -54x + -18x + 27x2 + (-2 * 29x2 + 3x * 29x2) + 10x3 * (-2 + 3x))
a = (36 + -54x + -18x + 27x2 + (-58x2 + 87x3) + 10x3 * (-2 + 3x))
a = (36 + -54x + -18x + 27x2 + -58x2 + 87x3 + (-2 * 10x3 + 3x * 10x3))
a = (36 + -54x + -18x + 27x2 + -58x2 + 87x3 + (-20x3 + 30x4))

Combine like terms: -54x + -18x = -72x
a = (36 + -72x + 27x2 + -58x2 + 87x3 + -20x3 + 30x4)

Combine like terms: 27x2 + -58x2 = -31x2
a = (36 + -72x + -31x2 + 87x3 + -20x3 + 30x4)

Combine like terms: 87x3 + -20x3 = 67x3
a = (36 + -72x + -31x2 + 67x3 + 30x4)

Solving
a = 36 + -72x + -31x2 + 67x3 + 30x4

Solving for variable 'a'.

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

Simplifying
a = 36 + -72x + -31x2 + 67x3 + 30x4

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