f(x)=(x-3)(x-3)(x-3)

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


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

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

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

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

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

Multiply (-3 + x) * (-3 + x)
fx = (-3(-3 + x) + x(-3 + x))(-3 + x)
fx = ((-3 * -3 + x * -3) + x(-3 + x))(-3 + x)
fx = ((9 + -3x) + x(-3 + x))(-3 + x)
fx = (9 + -3x + (-3 * x + x * x))(-3 + x)
fx = (9 + -3x + (-3x + x2))(-3 + x)

Combine like terms: -3x + -3x = -6x
fx = (9 + -6x + x2)(-3 + x)

Multiply (9 + -6x + x2) * (-3 + x)
fx = (9(-3 + x) + -6x * (-3 + x) + x2(-3 + x))
fx = ((-3 * 9 + x * 9) + -6x * (-3 + x) + x2(-3 + x))
fx = ((-27 + 9x) + -6x * (-3 + x) + x2(-3 + x))
fx = (-27 + 9x + (-3 * -6x + x * -6x) + x2(-3 + x))
fx = (-27 + 9x + (18x + -6x2) + x2(-3 + x))
fx = (-27 + 9x + 18x + -6x2 + (-3 * x2 + x * x2))
fx = (-27 + 9x + 18x + -6x2 + (-3x2 + x3))

Combine like terms: 9x + 18x = 27x
fx = (-27 + 27x + -6x2 + -3x2 + x3)

Combine like terms: -6x2 + -3x2 = -9x2
fx = (-27 + 27x + -9x2 + x3)

Solving
fx = -27 + 27x + -9x2 + x3

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -27x-1 + 27 + -9x + x2

Simplifying
f = -27x-1 + 27 + -9x + x2

Reorder the terms:
f = 27 + -27x-1 + -9x + x2

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