a=(3x+5)(x-2)-(x-2)(x+17)

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Solution for a=(3x+5)(x-2)-(x-2)(x+17) equation: 


Simplifying
a = (3x + 5)(x + -2) + -1(x + -2)(x + 17)

Reorder the terms:
a = (5 + 3x)(x + -2) + -1(x + -2)(x + 17)

Reorder the terms:
a = (5 + 3x)(-2 + x) + -1(x + -2)(x + 17)

Multiply (5 + 3x) * (-2 + x)
a = (5(-2 + x) + 3x * (-2 + x)) + -1(x + -2)(x + 17)
a = ((-2 * 5 + x * 5) + 3x * (-2 + x)) + -1(x + -2)(x + 17)
a = ((-10 + 5x) + 3x * (-2 + x)) + -1(x + -2)(x + 17)
a = (-10 + 5x + (-2 * 3x + x * 3x)) + -1(x + -2)(x + 17)
a = (-10 + 5x + (-6x + 3x2)) + -1(x + -2)(x + 17)

Combine like terms: 5x + -6x = -1x
a = (-10 + -1x + 3x2) + -1(x + -2)(x + 17)

Reorder the terms:
a = -10 + -1x + 3x2 + -1(-2 + x)(x + 17)

Reorder the terms:
a = -10 + -1x + 3x2 + -1(-2 + x)(17 + x)

Multiply (-2 + x) * (17 + x)
a = -10 + -1x + 3x2 + -1(-2(17 + x) + x(17 + x))
a = -10 + -1x + 3x2 + -1((17 * -2 + x * -2) + x(17 + x))
a = -10 + -1x + 3x2 + -1((-34 + -2x) + x(17 + x))
a = -10 + -1x + 3x2 + -1(-34 + -2x + (17 * x + x * x))
a = -10 + -1x + 3x2 + -1(-34 + -2x + (17x + x2))

Combine like terms: -2x + 17x = 15x
a = -10 + -1x + 3x2 + -1(-34 + 15x + x2)
a = -10 + -1x + 3x2 + (-34 * -1 + 15x * -1 + x2 * -1)
a = -10 + -1x + 3x2 + (34 + -15x + -1x2)

Reorder the terms:
a = -10 + 34 + -1x + -15x + 3x2 + -1x2

Combine like terms: -10 + 34 = 24
a = 24 + -1x + -15x + 3x2 + -1x2

Combine like terms: -1x + -15x = -16x
a = 24 + -16x + 3x2 + -1x2

Combine like terms: 3x2 + -1x2 = 2x2
a = 24 + -16x + 2x2

Solving
a = 24 + -16x + 2x2

Solving for variable 'a'.

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

Simplifying
a = 24 + -16x + 2x2

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