y=(3x+1)(2x+5)

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


Simplifying
y = (3x + 1)(2x + 5)

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

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

Multiply (1 + 3x) * (5 + 2x)
y = (1(5 + 2x) + 3x * (5 + 2x))
y = ((5 * 1 + 2x * 1) + 3x * (5 + 2x))
y = ((5 + 2x) + 3x * (5 + 2x))
y = (5 + 2x + (5 * 3x + 2x * 3x))
y = (5 + 2x + (15x + 6x2))

Combine like terms: 2x + 15x = 17x
y = (5 + 17x + 6x2)

Solving
y = 5 + 17x + 6x2

Solving for variable 'y'.

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

Simplifying
y = 5 + 17x + 6x2

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