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

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


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

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

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

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

Multiply (-8 + x) * (-6 + x)
fx = 3(-8(-6 + x) + x(-6 + x))
fx = 3((-6 * -8 + x * -8) + x(-6 + x))
fx = 3((48 + -8x) + x(-6 + x))
fx = 3(48 + -8x + (-6 * x + x * x))
fx = 3(48 + -8x + (-6x + x2))

Combine like terms: -8x + -6x = -14x
fx = 3(48 + -14x + x2)
fx = (48 * 3 + -14x * 3 + x2 * 3)
fx = (144 + -42x + 3x2)

Solving
fx = 144 + -42x + 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 = 144x-1 + -42 + 3x

Simplifying
f = 144x-1 + -42 + 3x

Reorder the terms:
f = -42 + 144x-1 + 3x

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