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

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


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

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

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

Multiply (3 + x) * (5 + x)
a = (3(5 + x) + x(5 + x)) + -1(x + -3) * x
a = ((5 * 3 + x * 3) + x(5 + x)) + -1(x + -3) * x
a = ((15 + 3x) + x(5 + x)) + -1(x + -3) * x
a = (15 + 3x + (5 * x + x * x)) + -1(x + -3) * x
a = (15 + 3x + (5x + x2)) + -1(x + -3) * x

Combine like terms: 3x + 5x = 8x
a = (15 + 8x + x2) + -1(x + -3) * x

Reorder the terms:
a = 15 + 8x + x2 + -1(-3 + x) * x

Reorder the terms for easier multiplication:
a = 15 + 8x + x2 + -1x(-3 + x)
a = 15 + 8x + x2 + (-3 * -1x + x * -1x)
a = 15 + 8x + x2 + (3x + -1x2)

Reorder the terms:
a = 15 + 8x + 3x + x2 + -1x2

Combine like terms: 8x + 3x = 11x
a = 15 + 11x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
a = 15 + 11x + 0
a = 15 + 11x

Solving
a = 15 + 11x

Solving for variable 'a'.

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

Simplifying
a = 15 + 11x

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