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

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


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

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

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

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

Combine like terms: 2x + 3x = 5x
y = (3 + 5x + 2x2)

Solving
y = 3 + 5x + 2x2

Solving for variable 'y'.

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

Simplifying
y = 3 + 5x + 2x2

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