f(x)=(8x+6)(5x-3)

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Solution for f(x)=(8x+6)(5x-3) equation: 


Simplifying
f(x) = (8x + 6)(5x + -3)

Multiply f * x
fx = (8x + 6)(5x + -3)

Reorder the terms:
fx = (6 + 8x)(5x + -3)

Reorder the terms:
fx = (6 + 8x)(-3 + 5x)

Multiply (6 + 8x) * (-3 + 5x)
fx = (6(-3 + 5x) + 8x * (-3 + 5x))
fx = ((-3 * 6 + 5x * 6) + 8x * (-3 + 5x))
fx = ((-18 + 30x) + 8x * (-3 + 5x))
fx = (-18 + 30x + (-3 * 8x + 5x * 8x))
fx = (-18 + 30x + (-24x + 40x2))

Combine like terms: 30x + -24x = 6x
fx = (-18 + 6x + 40x2)

Solving
fx = -18 + 6x + 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 = -18x-1 + 6 + 40x

Simplifying
f = -18x-1 + 6 + 40x

Reorder the terms:
f = 6 + -18x-1 + 40x

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