f(x)=(5x+2)(4x+7)

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Solution for f(x)=(5x+2)(4x+7) equation: 


Simplifying
f(x) = (5x + 2)(4x + 7)

Multiply f * x
fx = (5x + 2)(4x + 7)

Reorder the terms:
fx = (2 + 5x)(4x + 7)

Reorder the terms:
fx = (2 + 5x)(7 + 4x)

Multiply (2 + 5x) * (7 + 4x)
fx = (2(7 + 4x) + 5x * (7 + 4x))
fx = ((7 * 2 + 4x * 2) + 5x * (7 + 4x))
fx = ((14 + 8x) + 5x * (7 + 4x))
fx = (14 + 8x + (7 * 5x + 4x * 5x))
fx = (14 + 8x + (35x + 20x2))

Combine like terms: 8x + 35x = 43x
fx = (14 + 43x + 20x2)

Solving
fx = 14 + 43x + 20x2

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 14x-1 + 43 + 20x

Simplifying
f = 14x-1 + 43 + 20x

Reorder the terms:
f = 43 + 14x-1 + 20x

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