y=(4x^2+4x+1)(6x+2)

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Solution for y=(4x^2+4x+1)(6x+2) equation:


Simplifying
y = (4x2 + 4x + 1)(6x + 2)

Reorder the terms:
y = (1 + 4x + 4x2)(6x + 2)

Reorder the terms:
y = (1 + 4x + 4x2)(2 + 6x)

Multiply (1 + 4x + 4x2) * (2 + 6x)
y = (1(2 + 6x) + 4x * (2 + 6x) + 4x2 * (2 + 6x))
y = ((2 * 1 + 6x * 1) + 4x * (2 + 6x) + 4x2 * (2 + 6x))
y = ((2 + 6x) + 4x * (2 + 6x) + 4x2 * (2 + 6x))
y = (2 + 6x + (2 * 4x + 6x * 4x) + 4x2 * (2 + 6x))
y = (2 + 6x + (8x + 24x2) + 4x2 * (2 + 6x))
y = (2 + 6x + 8x + 24x2 + (2 * 4x2 + 6x * 4x2))
y = (2 + 6x + 8x + 24x2 + (8x2 + 24x3))

Combine like terms: 6x + 8x = 14x
y = (2 + 14x + 24x2 + 8x2 + 24x3)

Combine like terms: 24x2 + 8x2 = 32x2
y = (2 + 14x + 32x2 + 24x3)

Solving
y = 2 + 14x + 32x2 + 24x3

Solving for variable 'y'.

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

Simplifying
y = 2 + 14x + 32x2 + 24x3

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