y=3(x+2)(x+6)

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Solution for y=3(x+2)(x+6) equation:


Simplifying
y = 3(x + 2)(x + 6)

Reorder the terms:
y = 3(2 + x)(x + 6)

Reorder the terms:
y = 3(2 + x)(6 + x)

Multiply (2 + x) * (6 + x)
y = 3(2(6 + x) + x(6 + x))
y = 3((6 * 2 + x * 2) + x(6 + x))
y = 3((12 + 2x) + x(6 + x))
y = 3(12 + 2x + (6 * x + x * x))
y = 3(12 + 2x + (6x + x2))

Combine like terms: 2x + 6x = 8x
y = 3(12 + 8x + x2)
y = (12 * 3 + 8x * 3 + x2 * 3)
y = (36 + 24x + 3x2)

Solving
y = 36 + 24x + 3x2

Solving for variable 'y'.

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

Simplifying
y = 36 + 24x + 3x2

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