f(x)=(x+8)(3x-1)

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Solution for f(x)=(x+8)(3x-1) equation: 


Simplifying
f(x) = (x + 8)(3x + -1)

Multiply f * x
fx = (x + 8)(3x + -1)

Reorder the terms:
fx = (8 + x)(3x + -1)

Reorder the terms:
fx = (8 + x)(-1 + 3x)

Multiply (8 + x) * (-1 + 3x)
fx = (8(-1 + 3x) + x(-1 + 3x))
fx = ((-1 * 8 + 3x * 8) + x(-1 + 3x))
fx = ((-8 + 24x) + x(-1 + 3x))
fx = (-8 + 24x + (-1 * x + 3x * x))
fx = (-8 + 24x + (-1x + 3x2))

Combine like terms: 24x + -1x = 23x
fx = (-8 + 23x + 3x2)

Solving
fx = -8 + 23x + 3x2

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -8x-1 + 23 + 3x

Simplifying
f = -8x-1 + 23 + 3x

Reorder the terms:
f = 23 + -8x-1 + 3x

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