f(x)=(x+2)(x^2-11x+28)

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Solution for f(x)=(x+2)(x^2-11x+28) equation:


Simplifying
f(x) = (x + 2)(x2 + -11x + 28)

Multiply f * x
fx = (x + 2)(x2 + -11x + 28)

Reorder the terms:
fx = (2 + x)(x2 + -11x + 28)

Reorder the terms:
fx = (2 + x)(28 + -11x + x2)

Multiply (2 + x) * (28 + -11x + x2)
fx = (2(28 + -11x + x2) + x(28 + -11x + x2))
fx = ((28 * 2 + -11x * 2 + x2 * 2) + x(28 + -11x + x2))
fx = ((56 + -22x + 2x2) + x(28 + -11x + x2))
fx = (56 + -22x + 2x2 + (28 * x + -11x * x + x2 * x))
fx = (56 + -22x + 2x2 + (28x + -11x2 + x3))

Reorder the terms:
fx = (56 + -22x + 28x + 2x2 + -11x2 + x3)

Combine like terms: -22x + 28x = 6x
fx = (56 + 6x + 2x2 + -11x2 + x3)

Combine like terms: 2x2 + -11x2 = -9x2
fx = (56 + 6x + -9x2 + x3)

Solving
fx = 56 + 6x + -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 = 56x-1 + 6 + -9x + x2

Simplifying
f = 56x-1 + 6 + -9x + x2

Reorder the terms:
f = 6 + 56x-1 + -9x + x2

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