f(x)=(x-10)6(x-11)2

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Solution for f(x)=(x-10)6(x-11)2 equation: 


Simplifying
f(x) = (x + -10) * 6(x + -11) * 2

Multiply f * x
fx = (x + -10) * 6(x + -11) * 2

Reorder the terms:
fx = (-10 + x) * 6(x + -11) * 2

Reorder the terms:
fx = (-10 + x) * 6(-11 + x) * 2

Reorder the terms for easier multiplication:
fx = 6 * 2(-10 + x)(-11 + x)

Multiply 6 * 2
fx = 12(-10 + x)(-11 + x)

Multiply (-10 + x) * (-11 + x)
fx = 12(-10(-11 + x) + x(-11 + x))
fx = 12((-11 * -10 + x * -10) + x(-11 + x))
fx = 12((110 + -10x) + x(-11 + x))
fx = 12(110 + -10x + (-11 * x + x * x))
fx = 12(110 + -10x + (-11x + x2))

Combine like terms: -10x + -11x = -21x
fx = 12(110 + -21x + x2)
fx = (110 * 12 + -21x * 12 + x2 * 12)
fx = (1320 + -252x + 12x2)

Solving
fx = 1320 + -252x + 12x2

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 1320x-1 + -252 + 12x

Simplifying
f = 1320x-1 + -252 + 12x

Reorder the terms:
f = -252 + 1320x-1 + 12x

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