f(x)=(8x+4)(5x+7)

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Solution for f(x)=(8x+4)(5x+7) equation:


Simplifying
f(x) = (8x + 4)(5x + 7)

Multiply f * x
fx = (8x + 4)(5x + 7)

Reorder the terms:
fx = (4 + 8x)(5x + 7)

Reorder the terms:
fx = (4 + 8x)(7 + 5x)

Multiply (4 + 8x) * (7 + 5x)
fx = (4(7 + 5x) + 8x * (7 + 5x))
fx = ((7 * 4 + 5x * 4) + 8x * (7 + 5x))
fx = ((28 + 20x) + 8x * (7 + 5x))
fx = (28 + 20x + (7 * 8x + 5x * 8x))
fx = (28 + 20x + (56x + 40x2))

Combine like terms: 20x + 56x = 76x
fx = (28 + 76x + 40x2)

Solving
fx = 28 + 76x + 40x2

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 28x-1 + 76 + 40x

Simplifying
f = 28x-1 + 76 + 40x

Reorder the terms:
f = 76 + 28x-1 + 40x

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