y=(4x^2+35x+42)(x+7)

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Solution for y=(4x^2+35x+42)(x+7) equation: 


Simplifying
y = (4x2 + 35x + 42)(x + 7)

Reorder the terms:
y = (42 + 35x + 4x2)(x + 7)

Reorder the terms:
y = (42 + 35x + 4x2)(7 + x)

Multiply (42 + 35x + 4x2) * (7 + x)
y = (42(7 + x) + 35x * (7 + x) + 4x2 * (7 + x))
y = ((7 * 42 + x * 42) + 35x * (7 + x) + 4x2 * (7 + x))
y = ((294 + 42x) + 35x * (7 + x) + 4x2 * (7 + x))
y = (294 + 42x + (7 * 35x + x * 35x) + 4x2 * (7 + x))
y = (294 + 42x + (245x + 35x2) + 4x2 * (7 + x))
y = (294 + 42x + 245x + 35x2 + (7 * 4x2 + x * 4x2))
y = (294 + 42x + 245x + 35x2 + (28x2 + 4x3))

Combine like terms: 42x + 245x = 287x
y = (294 + 287x + 35x2 + 28x2 + 4x3)

Combine like terms: 35x2 + 28x2 = 63x2
y = (294 + 287x + 63x2 + 4x3)

Solving
y = 294 + 287x + 63x2 + 4x3

Solving for variable 'y'.

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

Simplifying
y = 294 + 287x + 63x2 + 4x3

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