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

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


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

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

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

Multiply (2 + x) * (5 + x)
y = (2(5 + x) + x(5 + x))
y = ((5 * 2 + x * 2) + x(5 + x))
y = ((10 + 2x) + x(5 + x))
y = (10 + 2x + (5 * x + x * x))
y = (10 + 2x + (5x + x2))

Combine like terms: 2x + 5x = 7x
y = (10 + 7x + x2)

Solving
y = 10 + 7x + x2

Solving for variable 'y'.

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

Simplifying
y = 10 + 7x + x2

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